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5256222192 = 243513103993
BaseRepresentation
bin1001110010100101…
…11001010111110000
3111120022111202100000
410321102321113300
541231043102232
62225323030000
7244153102644
oct47122712760
914508452300
105256222192
112258000591
12102836b300
13659c6c460
1437c11ac24
1520b6b927c
hex1394b95f0

5256222192 has 120 divisors (see below), whose sum is σ = 16428556144. Its totient is φ = 1617283584.

The previous prime is 5256222157. The next prime is 5256222199. The reversal of 5256222192 is 2912226525.

It is a happy number.

5256222192 is a `hidden beast` number, since 5 + 2 + 5 + 622 + 21 + 9 + 2 = 666.

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 (5256222199) 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 23 ways as a sum of consecutive naturals, for example, 1453 + ... + 102540.

Almost surely, 25256222192 is an apocalyptic number.

5256222192 is a gapful number since it is divisible by the number (52) 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 5256222192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214278072).

5256222192 is an abundant number, since it is smaller than the sum of its proper divisors (11172333952).

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

5256222192 is a wasteful number, since it uses less digits than its factorization.

5256222192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104029 (or 104011 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5256222192 is about 72499.8082204360. The cubic root of 5256222192 is about 1738.6996705781.

The spelling of 5256222192 in words is "five billion, two hundred fifty-six million, two hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 3159 3888 4212 5616 6318 8424 12636 16848 25272 50544 103993 207986 311979 415972 623958 831944 935937 1247916 1351909 1663888 1871874 2495832 2703818 2807811 3743748 4055727 4991664 5407636 5615622 7487496 8111454 8423433 10815272 11231244 12167181 14974992 16222908 16846866 21630544 22462488 24334362 25270299 32445816 33693732 36501543 44924976 48668724 50540598 64891632 67387464 73003086 97337448 101081196 109504629 134774928 146006172 194674896 202162392 219009258 292012344 328513887 404324784 438018516 584024688 657027774 876037032 1314055548 1752074064 2628111096 5256222192