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232463364232 = 231141271237749
BaseRepresentation
bin1101100001111111100…
…1010111000010001000
3211020000202211110022211
43120133321113002020
512302041110123412
6254443040354504
722536441664531
oct3303771270210
9736022743284
10232463364232
118a650566240
1239077615a34
1318bc8b57238
14b373761688
1560a848dca7
hex361fe57088

232463364232 has 64 divisors (see below), whose sum is σ = 488890080000. Its totient is φ = 102707136000.

The previous prime is 232463364229. The next prime is 232463364251.

232463364232 is nontrivially palindromic in base 10.

232463364232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 858894 + ... + 1096642.

It is an arithmetic number, because the mean of its divisors is an integer number (7638907500).

Almost surely, 2232463364232 is an apocalyptic number.

232463364232 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 232463364232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244445040000).

232463364232 is an abundant number, since it is smaller than the sum of its proper divisors (256426715768).

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

232463364232 is a wasteful number, since it uses less digits than its factorization.

232463364232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238078 (or 238074 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

It can be divided in two parts, 232463 and 364232, that added together give a palindrome (596695).

The spelling of 232463364232 in words is "two hundred thirty-two billion, four hundred sixty-three million, three hundred sixty-four thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2168 2981 3608 5962 11111 11924 22222 23848 44444 88888 122221 237749 244442 475498 488884 950996 977768 1901992 2615239 5230478 9747709 10460956 19495418 20921912 38990836 64429979 77981672 107224799 128859958 214449598 257719916 428899196 515439832 708729769 857798392 1417459538 2641629139 2834919076 5283258278 5669838152 10566516556 21133033112 29057920529 58115841058 116231682116 232463364232