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230120432 = 24171137487
BaseRepresentation
bin11011011011101…
…01101111110000
3121001000022212222
431231311233300
5432402323212
634500140212
75462664023
oct1555655760
9531008788
10230120432
11108995983
1265097668
13388a2049
14227c31ba
1515308c72
hexdb75bf0

230120432 has 40 divisors (see below), whose sum is σ = 476326656. Its totient is φ = 107319296.

The previous prime is 230120389. The next prime is 230120441. The reversal of 230120432 is 234021032.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 230120432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26993 + ... + 34479.

Almost surely, 2230120432 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 230120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238163328).

230120432 is an abundant number, since it is smaller than the sum of its proper divisors (246206224).

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

230120432 is a wasteful number, since it uses less digits than its factorization.

230120432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7619 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 230120432 is about 15169.7208939387. The cubic root of 230120432 is about 612.7994876912.

Adding to 230120432 its reverse (234021032), we get a palindrome (464141464).

The spelling of 230120432 in words is "two hundred thirty million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 68 113 136 226 272 452 904 1808 1921 3842 7487 7684 14974 15368 29948 30736 59896 119792 127279 254558 509116 846031 1018232 1692062 2036464 3384124 6768248 13536496 14382527 28765054 57530108 115060216 230120432