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232260000 = 253547279
BaseRepresentation
bin11011101100000…
…00000110100000
3121012001000211020
431312000012200
5433424310000
635014045440
75520114600
oct1566000640
9535030736
10232260000
1110a117415
1265949880
1339170b6b
1422bbcc00
15155ccba0
hexdd801a0

232260000 has 360 divisors, whose sum is σ = 897462720. Its totient is φ = 52416000.

The previous prime is 232259999. The next prime is 232260019. The reversal of 232260000 is 62232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2939961 + ... + 2940039.

It is an arithmetic number, because the mean of its divisors is an integer number (2492952).

Almost surely, 2232260000 is an apocalyptic number.

232260000 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 232260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448731360).

232260000 is an abundant number, since it is smaller than the sum of its proper divisors (665202720).

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

232260000 is an equidigital number, since it uses as much as digits as its factorization.

232260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 232260000 is about 15240.0787399541. The cubic root of 232260000 is about 614.6928203547.

The spelling of 232260000 in words is "two hundred thirty-two million, two hundred sixty thousand".