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230455120 = 2457411527
BaseRepresentation
bin11011011110001…
…11011101010000
3121001122022222211
431233013131100
5432444030440
634511241504
75465556550
oct1557073520
9531568884
10230455120
111090a4385
1265219294
133898b49c
142286d160
1515372eea
hexdbc7750

230455120 has 40 divisors (see below), whose sum is σ = 612353664. Its totient is φ = 79012992.

The previous prime is 230455079. The next prime is 230455151. The reversal of 230455120 is 21554032.

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

It is a junction number, because it is equal to n+sod(n) for n = 230455091 and 230455100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205204 + ... + 206323.

Almost surely, 2230455120 is an apocalyptic number.

230455120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230455120 is an abundant number, since it is smaller than the sum of its proper divisors (381898544).

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

230455120 is a wasteful number, since it uses less digits than its factorization.

230455120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411547 (or 411541 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 230455120 is about 15180.7483346507. The cubic root of 230455120 is about 613.0964297204.

The spelling of 230455120 in words is "two hundred thirty million, four hundred fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 411527 823054 1646108 2057635 2880689 3292216 4115270 5761378 6584432 8230540 11522756 14403445 16461080 23045512 28806890 32922160 46091024 57613780 115227560 230455120