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21918208 = 29133789
BaseRepresentation
bin101001110011…
…1001000000000
31112020120010111
41103213020000
521102340313
62101441104
7354205324
oct123471000
945216114
1021918208
1111410524
127410194
134705570
142ca7984
151dce43d
hex14e7200

21918208 has 80 divisors (see below), whose sum is σ = 48981240. Its totient is φ = 9732096.

The previous prime is 21918187. The next prime is 21918233. The reversal of 21918208 is 80281912.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16386304 + 5531904 = 4048^2 + 2352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21918208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246228 + ... + 246316.

Almost surely, 221918208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21918208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24490620).

21918208 is an abundant number, since it is smaller than the sum of its proper divisors (27063032).

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

21918208 is an equidigital number, since it uses as much as digits as its factorization.

21918208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 21918208 is about 4681.6885842610. The cubic root of 21918208 is about 279.8562527458.

The spelling of 21918208 in words is "twenty-one million, nine hundred eighteen thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 89 104 128 148 178 208 256 296 356 416 481 512 592 712 832 962 1157 1184 1424 1664 1924 2314 2368 2848 3293 3328 3848 4628 4736 5696 6586 6656 7696 9256 9472 11392 13172 15392 18512 18944 22784 26344 30784 37024 42809 45568 52688 61568 74048 85618 105376 123136 148096 171236 210752 246272 296192 342472 421504 592384 684944 843008 1369888 1686016 2739776 5479552 10959104 21918208