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21894100 = 2252218941
BaseRepresentation
bin101001110000…
…1001111010100
31112012100001121
41103201033110
521101102400
62101133324
7354045124
oct123411724
945170047
1021894100
11113a43a8
1273ba244
1346c75b7
142c9cc84
151dc721a
hex14e13d4

21894100 has 18 divisors (see below), whose sum is σ = 47510414. Its totient is φ = 8757600.

The previous prime is 21894097. The next prime is 21894109. The reversal of 21894100 is 149812.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 197136 + 21696964 = 444^2 + 4658^2 .

It is a super-2 number, since 2×218941002 = 958703229620000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21894109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109371 + ... + 109570.

Almost surely, 221894100 is an apocalyptic number.

21894100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21894100 is an abundant number, since it is smaller than the sum of its proper divisors (25616314).

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

21894100 is a wasteful number, since it uses less digits than its factorization.

21894100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218955 (or 218948 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 21894100 is about 4679.1131638378. The cubic root of 21894100 is about 279.7536097794.

The spelling of 21894100 in words is "twenty-one million, eight hundred ninety-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 218941 437882 875764 1094705 2189410 4378820 5473525 10947050 21894100