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230210311232 = 26113112783059
BaseRepresentation
bin1101011001100110011…
…0101001010001000000
3211000012202022111122102
43112121212221101000
512232432314424412
6253431313525532
722426553234066
oct3263146512100
9730182274572
10230210311232
11896a47a0170
1238748b738a8
131892a13b995
14b1dc434036
155ec57928c2
hex35999a9440

230210311232 has 112 divisors (see below), whose sum is σ = 518485770240. Its totient is φ = 100466956800.

The previous prime is 230210311231. The next prime is 230210311237. The reversal of 230210311232 is 232113012032.

It is not an unprimeable number, because it can be changed into a prime (230210311231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730119 + ... + 2813177.

Almost surely, 2230210311232 is an apocalyptic number.

230210311232 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 230210311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259242885120).

230210311232 is an abundant number, since it is smaller than the sum of its proper divisors (288275459008).

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

230210311232 is a wasteful number, since it uses less digits than its factorization.

230210311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83240 (or 83230 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230210311232 its reverse (232113012032), we get a palindrome (462323323264).

The spelling of 230210311232 in words is "two hundred thirty billion, two hundred ten million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 127 176 248 254 341 352 496 508 682 704 992 1016 1364 1397 1984 2032 2728 2794 3937 4064 5456 5588 7874 8128 10912 11176 15748 21824 22352 31496 43307 44704 62992 83059 86614 89408 125984 166118 173228 251968 332236 346456 664472 692912 913649 1328944 1385824 1827298 2574829 2657888 2771648 3654596 5149658 5315776 7309192 10299316 10548493 14618384 20598632 21096986 28323119 29236768 41197264 42193972 56646238 58473536 82394528 84387944 113292476 116033423 164789056 168775888 226584952 232066846 327003283 337551776 453169904 464133692 654006566 675103552 906339808 928267384 1308013132 1812679616 1856534768 2616026264 3597036113 3713069536 5232052528 7194072226 7426139072 10464105056 14388144452 20928210112 28776288904 57552577808 115105155616 230210311232