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11225355192 = 2334193129411
BaseRepresentation
bin10100111010001010…
…10101001110111000
31001222022111010110000
422131011111032320
5140442142331232
65053514153000
7545113642032
oct123505251670
931868433400
1011225355192
114840469557
122213422760
13109b81b70c
14786bb2c52
1545a75627c
hex29d1553b8

11225355192 has 160 divisors (see below), whose sum is σ = 34164979200. Its totient is φ = 3430382400.

The previous prime is 11225355181. The next prime is 11225355199. The reversal of 11225355192 is 29155352211.

11225355192 is a `hidden beast` number, since 1 + 12 + 2 + 5 + 3 + 551 + 92 = 666.

11225355192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112253551922 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11225355199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 366967 + ... + 396377.

It is an arithmetic number, because the mean of its divisors is an integer number (213531120).

Almost surely, 211225355192 is an apocalyptic number.

11225355192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11225355192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17082489600).

11225355192 is an abundant number, since it is smaller than the sum of its proper divisors (22939624008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11225355192 is a wasteful number, since it uses less digits than its factorization.

11225355192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29479 (or 29466 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The spelling of 11225355192 in words is "eleven billion, two hundred twenty-five million, three hundred fifty-five thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 81 93 108 114 124 152 162 171 186 216 228 248 279 324 342 372 456 513 558 589 648 684 744 837 1026 1116 1178 1368 1539 1674 1767 2052 2232 2356 2511 3078 3348 3534 4104 4712 5022 5301 6156 6696 7068 10044 10602 12312 14136 15903 20088 21204 29411 31806 42408 47709 58822 63612 88233 95418 117644 127224 176466 190836 235288 264699 352932 381672 529398 558809 705864 794097 911741 1058796 1117618 1588194 1676427 1823482 2117592 2235236 2382291 2735223 3176388 3352854 3646964 4470472 4764582 5029281 5470446 6352776 6705708 7293928 8205669 9529164 10058562 10940892 13411416 15087843 16411338 17323079 19058328 20117124 21881784 24617007 30175686 32822676 34646158 40234248 45263529 49234014 51969237 60351372 65645352 69292316 73851021 90527058 98468028 103938474 120702744 138584632 147702042 155907711 181054116 196936056 207876948 295404084 311815422 362108232 415753896 467723133 590808168 623630844 935446266 1247261688 1403169399 1870892532 2806338798 3741785064 5612677596 11225355192