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232470700 = 2252721119227
BaseRepresentation
bin11011101101100…
…11100010101100
3121012102201211221
431312303202230
5434003030300
635022353124
75521653100
oct1566634254
9535381757
10232470700
1110a250750
1265a2b7a4
1339215a37
1422c35900
151562031a
hexddb38ac

232470700 has 216 divisors, whose sum is σ = 676831680. Its totient is φ = 68342400.

The previous prime is 232470673. The next prime is 232470709. The reversal of 232470700 is 7074232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (232470709) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1023987 + ... + 1024213.

It is an arithmetic number, because the mean of its divisors is an integer number (3133480).

Almost surely, 2232470700 is an apocalyptic number.

232470700 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 232470700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338415840).

232470700 is an abundant number, since it is smaller than the sum of its proper divisors (444360980).

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

232470700 is a wasteful number, since it uses less digits than its factorization.

232470700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 232470700 is about 15246.9898668557. The cubic root of 232470700 is about 614.8786417511.

232470700 divided by its sum of digits (25) gives a triangular number (9298828 = T4312).

The spelling of 232470700 in words is "two hundred thirty-two million, four hundred seventy thousand, seven hundred".