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232033132232 = 231123763110267
BaseRepresentation
bin1101100000011001000…
…0001001111011001000
3211011220210021101222022
43120012100021323020
512300200440212412
6254332231144012
722522666040036
oct3300620117310
9734823241868
10232033132232
118a44a721600
1238b77515008
1318b5a98c1a5
14b33256b556
156080807a72
hex3606409ec8

232033132232 has 96 divisors (see below), whose sum is σ = 491959594560. Its totient is φ = 102446467200.

The previous prime is 232033132207. The next prime is 232033132237. The reversal of 232033132232 is 232231330232.

It is not an unprimeable number, because it can be changed into a prime (232033132237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22594763 + ... + 22605029.

It is an arithmetic number, because the mean of its divisors is an integer number (5124579110).

Almost surely, 2232033132232 is an apocalyptic number.

232033132232 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 232033132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245979797280).

232033132232 is an abundant number, since it is smaller than the sum of its proper divisors (259926462328).

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

232033132232 is a wasteful number, since it uses less digits than its factorization.

232033132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10963 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

Adding to 232033132232 its reverse (232231330232), we get a palindrome (464264462464).

The spelling of 232033132232 in words is "two hundred thirty-two billion, thirty-three million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 631 814 968 1262 1628 2524 3256 4477 5048 6941 8954 10267 13882 17908 20534 23347 27764 35816 41068 46694 55528 76351 82136 93388 112937 152702 186776 225874 256817 305404 379879 451748 513634 610808 759758 903496 1027268 1242307 1519516 2054536 2484614 2824987 3039032 4178669 4969228 5649974 6478477 8357338 9938456 11299948 12956954 16714676 22599896 25913908 33429352 45965359 51827816 71263247 91930718 142526494 183861436 239703649 285052988 367722872 479407298 570105976 783895717 958814596 1567791434 1917629192 2636740139 3135582868 5273480278 6271165736 10546960556 21093921112 29004141529 58008283058 116016566116 232033132232