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230689540 = 22523659761
BaseRepresentation
bin11011100000000…
…00101100000100
3121002002020120001
431300000230010
5433024031130
634520251044
75500554154
oct1560005404
9532066501
10230689540
11109244514
1265310a84
1338a410b3
14228d0764
15153bc6ca
hexdc00b04

230689540 has 48 divisors (see below), whose sum is σ = 506943360. Its totient is φ = 88014080.

The previous prime is 230689483. The next prime is 230689567. The reversal of 230689540 is 45986032.

It is a self number, because there is not a number n which added to its sum of digits gives 230689540.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302760 + ... + 303520.

It is an arithmetic number, because the mean of its divisors is an integer number (10561320).

Almost surely, 2230689540 is an apocalyptic number.

230689540 is a gapful number since it is divisible by the number (20) 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 230689540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253471680).

230689540 is an abundant number, since it is smaller than the sum of its proper divisors (276253820).

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

230689540 is a wasteful number, since it uses less digits than its factorization.

230689540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 230689540 is about 15188.4673354490. The cubic root of 230689540 is about 613.3042407698.

The spelling of 230689540 in words is "two hundred thirty million, six hundred eighty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 659 761 1318 1522 2636 3044 3295 3805 6590 7610 13180 15157 15220 17503 30314 35006 60628 70012 75785 87515 151570 175030 303140 350060 501499 1002998 2005996 2507495 5014990 10029980 11534477 23068954 46137908 57672385 115344770 230689540