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232022113312 = 25112933168669
BaseRepresentation
bin1101100000010110011…
…0000111110000100000
3211011220000112120212011
43120011212013300200
512300140130111222
6254331155042304
722522503264643
oct3300546076040
9734800476764
10232022113312
118a444485960
1238b738a0394
1318b58601912
14b330cdda5a
15607e87cc77
hex3605987c20

232022113312 has 96 divisors (see below), whose sum is σ = 517068619200. Its totient is φ = 101518771200.

The previous prime is 232022113273. The next prime is 232022113327. The reversal of 232022113312 is 213311220232.

It is a super-2 number, since 2×2320221133122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344514 + ... + 3413182.

It is an arithmetic number, because the mean of its divisors is an integer number (5386131450).

Almost surely, 2232022113312 is an apocalyptic number.

232022113312 is a gapful number since it is divisible by the number (22) 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 232022113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258534309600).

232022113312 is an abundant number, since it is smaller than the sum of its proper divisors (285046505888).

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

232022113312 is a wasteful number, since it uses less digits than its factorization.

232022113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69050 (or 69042 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 232022113312 its reverse (213311220232), we get a palindrome (445333333544).

The spelling of 232022113312 in words is "two hundred thirty-two billion, twenty-two million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 331 352 464 638 662 928 1276 1324 2552 2648 3641 5104 5296 7282 9599 10208 10592 14564 19198 29128 38396 58256 68669 76792 105589 116512 137338 153584 211178 274676 307168 422356 549352 755359 844712 1098704 1510718 1689424 1991401 2197408 3021436 3378848 3982802 6042872 7965604 12085744 15931208 21905411 22729439 24171488 31862416 43810822 45458878 63724832 87621644 90917756 175243288 181835512 250023829 350486576 363671024 500047658 659153731 700973152 727342048 1000095316 1318307462 2000190632 2636614924 4000381264 5273229848 7250691041 8000762528 10546459696 14501382082 21092919392 29002764164 58005528328 116011056656 232022113312