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230482920 = 233519101089
BaseRepresentation
bin11011011110011…
…10001111101000
3121001200202010110
431233032033220
5433000423140
634512014320
75466033603
oct1557161750
9531622113
10230482920
11109113258
12652313a0
133899b035
142287933a
151537b380
hexdbce3e8

230482920 has 64 divisors (see below), whose sum is σ = 727848000. Its totient is φ = 58226688.

The previous prime is 230482919. The next prime is 230482921. The reversal of 230482920 is 29284032.

It is an interprime number because it is at equal distance from previous prime (230482919) and next prime (230482921).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (230482921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48265 + ... + 52824.

It is an arithmetic number, because the mean of its divisors is an integer number (11372625).

Almost surely, 2230482920 is an apocalyptic number.

230482920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230482920 is an abundant number, since it is smaller than the sum of its proper divisors (497365080).

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

230482920 is a wasteful number, since it uses less digits than its factorization.

230482920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101122 (or 101118 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 230482920 is about 15181.6639404250. The cubic root of 230482920 is about 613.1210815130.

The spelling of 230482920 in words is "two hundred thirty million, four hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 101089 202178 303267 404356 505445 606534 808712 1010890 1213068 1516335 1920691 2021780 2426136 3032670 3841382 4043560 5762073 6065340 7682764 9603455 11524146 12130680 15365528 19206910 23048292 28810365 38413820 46096584 57620730 76827640 115241460 230482920