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232678080 = 26325173467
BaseRepresentation
bin11011101111001…
…10001011000000
3121012211021022200
431313212023000
5434031144310
635031033200
75523505515
oct1567461300
9535737280
10232678080
1110a382538
1265b0b800
133928924b
1422c8b30c
15156619c0
hexdde62c0

232678080 has 168 divisors, whose sum is σ = 806665392. Its totient is φ = 61556736.

The previous prime is 232678073. The next prime is 232678087. The reversal of 232678080 is 80876232.

It is a happy number.

232678080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232678073) and next prime (232678087).

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

It is not an unprimeable number, because it can be changed into a prime (232678087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498007 + ... + 498473.

Almost surely, 2232678080 is an apocalyptic number.

232678080 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 232678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403332696).

232678080 is an abundant number, since it is smaller than the sum of its proper divisors (573987312).

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

232678080 is a wasteful number, since it uses less digits than its factorization.

232678080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 232678080 is about 15253.7890374818. The cubic root of 232678080 is about 615.0614255522.

The spelling of 232678080 in words is "two hundred thirty-two million, six hundred seventy-eight thousand, eighty".