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230491224 = 233310332
BaseRepresentation
bin11011011110100…
…00010001011000
3121001201011112000
431233100101120
5433001204344
634512121000
75466100035
oct1557202130
9531634460
10230491224
11109119517
1265236160
13389a1a52
142287c38c
151537da69
hexdbd0458

230491224 has 48 divisors (see below), whose sum is σ = 640873800. Its totient is φ = 76756032.

The previous prime is 230491193. The next prime is 230491259. The reversal of 230491224 is 422194032.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222612 + ... + 223644.

Almost surely, 2230491224 is an apocalyptic number.

230491224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230491224 is an abundant number, since it is smaller than the sum of its proper divisors (410382576).

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

230491224 is an equidigital number, since it uses as much as digits as its factorization.

230491224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 230491224 is about 15181.9374257701. The cubic root of 230491224 is about 613.1284447431.

Multiplying 230491224 by its product of nonzero digits (3456), we get a square (796577670144 = 8925122).

It can be divided in two parts, 2304 and 91224, that added together give a triangular number (93528 = T432).

The spelling of 230491224 in words is "two hundred thirty million, four hundred ninety-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1033 2066 3099 4132 6198 8264 9297 12396 18594 24792 27891 37188 55782 74376 111564 223128 1067089 2134178 3201267 4268356 6402534 8536712 9603801 12805068 19207602 25610136 28811403 38415204 57622806 76830408 115245612 230491224