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230472 = 23331197
BaseRepresentation
bin111000010001001000
3102201011000
4320101020
524333342
64535000
71646634
oct702110
9381130
10230472
11148180
12b1460
1380b98
145ddc4
154844c
hex38448

230472 has 64 divisors (see below), whose sum is σ = 705600. Its totient is φ = 69120.

The previous prime is 230471. The next prime is 230479. The reversal of 230472 is 274032.

It is a happy number.

230472 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230471) 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, 2328 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (11025).

2230472 is an apocalyptic number.

230472 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 230472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352800).

230472 is an abundant number, since it is smaller than the sum of its proper divisors (475128).

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

230472 is a wasteful number, since it uses less digits than its factorization.

230472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 230472 is about 480.0749941415. The cubic root of 230472 is about 61.3111398383.

The spelling of 230472 in words is "two hundred thirty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 97 99 108 132 194 198 216 264 291 297 388 396 582 594 776 792 873 1067 1164 1188 1746 2134 2328 2376 2619 3201 3492 4268 5238 6402 6984 8536 9603 10476 12804 19206 20952 25608 28809 38412 57618 76824 115236 230472