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233055120 = 2435971063
BaseRepresentation
bin11011110010000…
…10001110010000
3121020112102112010
431321002032100
5434130230440
635043102520
75526635664
oct1571021620
9536472463
10233055120
1110a60a841
1266071a40
133938ba4c
1422d488a4
15156d8580
hexde42390

233055120 has 40 divisors (see below), whose sum is σ = 722471616. Its totient is φ = 62147968.

The previous prime is 233055103. The next prime is 233055127. The reversal of 233055120 is 21550332.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (233055127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485292 + ... + 485771.

Almost surely, 2233055120 is an apocalyptic number.

233055120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233055120 is an abundant number, since it is smaller than the sum of its proper divisors (489416496).

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

233055120 is a wasteful number, since it uses less digits than its factorization.

233055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971079 (or 971073 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 233055120 is about 15266.1429313367. The cubic root of 233055120 is about 615.3934688790.

The spelling of 233055120 in words is "two hundred thirty-three million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 971063 1942126 2913189 3884252 4855315 5826378 7768504 9710630 11652756 14565945 15537008 19421260 23305512 29131890 38842520 46611024 58263780 77685040 116527560 233055120