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232878240 = 25345717151
BaseRepresentation
bin11011110000101…
…11000010100000
3121020012102220000
431320113002200
5434104100430
635035220000
75525301210
oct1570270240
9536172800
10232878240
1110a4a9961
1265ba7600
133932939a
1422d00240
15156a0e60
hexde170a0

232878240 has 480 divisors, whose sum is σ = 1001113344. Its totient is φ = 49766400.

The previous prime is 232878229. The next prime is 232878253. The reversal of 232878240 is 42878232.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232878195 and 232878204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1542165 + ... + 1542315.

Almost surely, 2232878240 is an apocalyptic number.

232878240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500556672).

232878240 is an abundant number, since it is smaller than the sum of its proper divisors (768235104).

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

232878240 is a wasteful number, since it uses less digits than its factorization.

232878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 232878240 is about 15260.3486198710. The cubic root of 232878240 is about 615.2377427054.

The spelling of 232878240 in words is "two hundred thirty-two million, eight hundred seventy-eight thousand, two hundred forty".