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18232900 = 225272612
BaseRepresentation
bin100010110001…
…1011001000100
31021022022211121
41011203121010
514131423100
61450443324
7310656100
oct105433104
937268747
1018232900
11a323714
126133544
133a14cca
1425c8900
15190251a
hex1163644

18232900 has 81 divisors (see below), whose sum is σ = 46791927. Its totient is φ = 6148800.

The previous prime is 18232883. The next prime is 18232931. The reversal of 18232900 is 923281.

The square root of 18232900 is 4270.

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 8398404 + 9834496 = 2898^2 + 3136^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 298870 + ... + 298930.

Almost surely, 218232900 is an apocalyptic number.

18232900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18232900 is the 4270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18232900

18232900 is an abundant number, since it is smaller than the sum of its proper divisors (28559027).

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

18232900 is a wasteful number, since it uses less digits than its factorization.

18232900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The cubic root of 18232900 is about 263.1996152099.

Multiplying 18232900 by its sum of digits (25), we get a square (455822500 = 213502).

18232900 divided by its sum of digits (25) gives a square (729316 = 8542).

The spelling of 18232900 in words is "eighteen million, two hundred thirty-two thousand, nine hundred".