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21800090 = 2513232317
BaseRepresentation
bin101001100101…
…0010010011010
31112000120002202
41103022102122
521040100330
62055130202
7353204054
oct123122232
945016082
1021800090
111133a804
127373962
134693880
142c768d4
151da9445
hex14ca49a

21800090 has 48 divisors (see below), whose sum is σ = 44315208. Its totient is φ = 7675008.

The previous prime is 21800089. The next prime is 21800101. The reversal of 21800090 is 9000812.

It can be written as a sum of positive squares in 4 ways, for example, as 7745089 + 14055001 = 2783^2 + 3749^2 .

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68612 + ... + 68928.

Almost surely, 221800090 is an apocalyptic number.

21800090 is an abundant number, since it is smaller than the sum of its proper divisors (22515118).

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

21800090 is a wasteful number, since it uses less digits than its factorization.

21800090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 21800090 is about 4669.0566499026. The cubic root of 21800090 is about 279.3526285539.

The spelling of 21800090 in words is "twenty-one million, eight hundred thousand, ninety".

Divisors: 1 2 5 10 13 23 26 46 65 115 130 230 299 317 529 598 634 1058 1495 1585 2645 2990 3170 4121 5290 6877 7291 8242 13754 14582 20605 34385 36455 41210 68770 72910 94783 167693 189566 335386 473915 838465 947830 1676930 2180009 4360018 10900045 21800090