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11230222032 = 24321726317443
BaseRepresentation
bin10100111010101111…
…11001011011010000
31001222122122101111100
422131113321123100
5140444414101112
65054210344400
7545203212051
oct123527713320
931878571440
1011230222032
114843193037
122214b8b100
13109c8339c3
147876bc728
1545adb82dc
hex29d5f96d0

11230222032 has 120 divisors (see below), whose sum is σ = 33406236864. Its totient is φ = 3509609472.

The previous prime is 11230222021. The next prime is 11230222033. The reversal of 11230222032 is 23022203211.

11230222032 is a `hidden beast` number, since 112 + 302 + 220 + 32 = 666.

It is a super-2 number, since 2×112302220322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11230221996 and 11230222014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11230222033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635103 + ... + 652545.

Almost surely, 211230222032 is an apocalyptic number.

11230222032 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 11230222032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16703118432).

11230222032 is an abundant number, since it is smaller than the sum of its proper divisors (22176014832).

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

11230222032 is a wasteful number, since it uses less digits than its factorization.

11230222032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17737 (or 17728 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11230222032 its reverse (23022203211), we get a palindrome (34252425243).

It can be divided in two parts, 11 and 230222032, that multiplied together give a palindrome (2532442352).

The spelling of 11230222032 in words is "eleven billion, two hundred thirty million, two hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 263 272 306 408 526 612 789 816 1052 1224 1578 2104 2367 2448 3156 4208 4471 4734 6312 8942 9468 12624 13413 17443 17884 18936 26826 34886 35768 37872 40239 52329 53652 69772 71536 80478 104658 107304 139544 156987 160956 209316 214608 279088 296531 313974 321912 418632 593062 627948 643824 837264 889593 1186124 1255896 1779186 2372248 2511792 2668779 3558372 4587509 4744496 5337558 7116744 9175018 10675116 13762527 14233488 18350036 21350232 27525054 36700072 41287581 42700464 55050108 73400144 77987653 82575162 110100216 155975306 165150324 220200432 233962959 311950612 330300648 467925918 623901224 660601296 701888877 935851836 1247802448 1403777754 1871703672 2807555508 3743407344 5615111016 11230222032