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21904219440 = 2432530422527
BaseRepresentation
bin10100011001100101…
…111101110100110000
32002112112122122020200
4110121211331310300
5324324440010230
614021311235200
71403543536035
oct243145756460
962475578220
1021904219440
1193203a72a4
1242b3818b00
1320b1057bbc
1410bb16b38c
1588300e160
hex51997dd30

21904219440 has 60 divisors (see below), whose sum is σ = 73561672704. Its totient is φ = 5841124992.

The previous prime is 21904219433. The next prime is 21904219451. The reversal of 21904219440 is 4491240912.

21904219440 is a `hidden beast` number, since 2 + 190 + 4 + 21 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 21904219395 and 21904219404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15210544 + ... + 15211983.

Almost surely, 221904219440 is an apocalyptic number.

21904219440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21904219440 is an abundant number, since it is smaller than the sum of its proper divisors (51657453264).

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

21904219440 is a wasteful number, since it uses less digits than its factorization.

21904219440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30422546 (or 30422537 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21904219440 in words is "twenty-one billion, nine hundred four million, two hundred nineteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 30422527 60845054 91267581 121690108 152112635 182535162 243380216 273802743 304225270 365070324 456337905 486760432 547605486 608450540 730140648 912675810 1095210972 1216901080 1369013715 1460281296 1825351620 2190421944 2433802160 2738027430 3650703240 4380843888 5476054860 7301406480 10952109720 21904219440