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230330033032 = 231121567151847
BaseRepresentation
bin1101011010000010111…
…1010110001110001000
3211000112002121000002011
43112200233112032020
512233203442024112
6253451231545304
722432535656201
oct3264057261610
9730462530064
10230330033032
1189756331a00
123878108b234
1318948b99098
14b2102ba5a8
155ed1040aa7
hex35a0bd6388

230330033032 has 48 divisors (see below), whose sum is σ = 475004839680. Its totient is φ = 104627967840.

The previous prime is 230330033009. The next prime is 230330033033.

230330033032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2303300330322 (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 a junction number, because it is equal to n+sod(n) for n = 230330032994 and 230330033012.

It is not an unprimeable number, because it can be changed into a prime (230330033033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1440933 + ... + 1592779.

It is an arithmetic number, because the mean of its divisors is an integer number (9895934160).

Almost surely, 2230330033032 is an apocalyptic number.

230330033032 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 230330033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237502419840).

230330033032 is an abundant number, since it is smaller than the sum of its proper divisors (244674806648).

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

230330033032 is a wasteful number, since it uses less digits than its factorization.

230330033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153442 (or 153427 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 22.

It can be divided in two parts, 2303300 and 33032, that added together give a palindrome (2336332).

The spelling of 230330033032 in words is "two hundred thirty billion, three hundred thirty million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1567 3134 6268 12536 17237 34474 68948 137896 151847 189607 303694 379214 607388 758428 1214776 1516856 1670317 3340634 6681268 13362536 18373487 36746974 73493948 146987896 237944249 475888498 951776996 1903553992 2617386739 5234773478 10469546956 20939093912 28791254129 57582508258 115165016516 230330033032