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230101032 = 23372295981
BaseRepresentation
bin11011011011100…
…01000000101000
3121000222100021110
431231301000220
5432401213112
634455510320
75462553330
oct1555610050
9530870243
10230101032
11108982347
12650883a0
1338896275
14227ba0c0
151530313c
hexdb71028

230101032 has 64 divisors (see below), whose sum is σ = 660412800. Its totient is φ = 65445120.

The previous prime is 230101019. The next prime is 230101033.

It is a happy number.

230101032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 230100999 and 230101017.

It is not an unprimeable number, because it can be changed into a prime (230101033) 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, 35482 + ... + 41462.

It is an arithmetic number, because the mean of its divisors is an integer number (10318950).

Almost surely, 2230101032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330206400).

230101032 is an abundant number, since it is smaller than the sum of its proper divisors (430311768).

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

230101032 is a wasteful number, since it uses less digits than its factorization.

230101032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6226 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 230101032 is about 15169.0814487892. The cubic root of 230101032 is about 612.7822667893.

It can be divided in two parts, 23010 and 1032, that added together give a palindrome (24042).

The spelling of 230101032 in words is "two hundred thirty million, one hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1374 1603 1832 2748 3206 4809 5496 5981 6412 9618 11962 12824 17943 19236 23924 35886 38472 41867 47848 71772 83734 125601 143544 167468 251202 334936 502404 1004808 1369649 2739298 4108947 5478596 8217894 9587543 10957192 16435788 19175086 28762629 32871576 38350172 57525258 76700344 115050516 230101032