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235008900 = 22325272732
BaseRepresentation
bin11100000000111…
…11001110000100
3121101012200121100
432000133032010
5440130241100
635153020100
75552354100
oct1600371604
9541180540
10235008900
11110724735
1266854630
13398c4129
14232d6900
1515972400
hexe01f384

235008900 has 243 divisors, whose sum is σ = 868786191. Its totient is φ = 52980480.

The previous prime is 235008881. The next prime is 235008911. The reversal of 235008900 is 9800532.

The square root of 235008900 is 15330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1285956 + 233722944 = 1134^2 + 15288^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3219264 + ... + 3219336.

Almost surely, 2235008900 is an apocalyptic number.

235008900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

235008900 is the 15330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235008900

235008900 is an abundant number, since it is smaller than the sum of its proper divisors (633777291).

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

235008900 is a wasteful number, since it uses less digits than its factorization.

235008900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 235008900 is about 617.1083695271.

It can be divided in two parts, 23500 and 8900, that added together give a square (32400 = 1802).

The spelling of 235008900 in words is "two hundred thirty-five million, eight thousand, nine hundred".