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234230880 = 25351337537
BaseRepresentation
bin11011111011000…
…01010001100000
3121022202011100210
431331201101200
5434430342010
635124214120
75542633602
oct1575412140
9538664323
10234230880
11110243144
126653a340
13396b0c70
1423173172
151586bb20
hexdf61460

234230880 has 96 divisors (see below), whose sum is σ = 794604384. Its totient is φ = 57655296.

The previous prime is 234230851. The next prime is 234230881. The reversal of 234230880 is 88032432.

234230880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234230881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12529 + ... + 25008.

It is an arithmetic number, because the mean of its divisors is an integer number (8277129).

Almost surely, 2234230880 is an apocalyptic number.

234230880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234230880 is an abundant number, since it is smaller than the sum of its proper divisors (560373504).

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

234230880 is a wasteful number, since it uses less digits than its factorization.

234230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37568 (or 37560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 234230880 is about 15304.6032290942. The cubic root of 234230880 is about 616.4266173873.

The spelling of 234230880 in words is "two hundred thirty-four million, two hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 37537 75074 112611 150148 187685 225222 300296 375370 450444 487981 563055 600592 750740 900888 975962 1126110 1201184 1463943 1501480 1801776 1951924 2252220 2439905 2927886 3002960 3603552 3903848 4504440 4879810 5855772 6005920 7319715 7807696 9008880 9759620 11711544 14639430 15615392 18017760 19519240 23423088 29278860 39038480 46846176 58557720 78076960 117115440 234230880