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21122234304 = 263271405947
BaseRepresentation
bin10011101010111110…
…111011011111000000
32000112001012200022020
4103222332323133000
5321224242444204
613411534441440
71345300013013
oct235276733700
960461180266
1021122234304
118a59a50296
124115963280
131cb80419c2
14104537137a
15839544bd9
hex4eafbb7c0

21122234304 has 56 divisors (see below), whose sum is σ = 56092270848. Its totient is φ = 7014746880.

The previous prime is 21122234291. The next prime is 21122234347. The reversal of 21122234304 is 40343222112.

It is a happy number.

It is a super-2 number, since 2×211222343042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 150942 + ... + 255005.

Almost surely, 221122234304 is an apocalyptic number.

21122234304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21122234304 is an abundant number, since it is smaller than the sum of its proper divisors (34970036544).

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

21122234304 is a wasteful number, since it uses less digits than its factorization.

21122234304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406233 (or 406223 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 21122234304 its reverse (40343222112), we get a palindrome (61465456416).

The spelling of 21122234304 in words is "twenty-one billion, one hundred twenty-two million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 52032 405947 811894 1217841 1623788 2435682 3247576 4871364 6495152 9742728 12990304 19485456 25980608 38970912 77941824 110011637 220023274 330034911 440046548 660069822 880093096 1320139644 1760186192 2640279288 3520372384 5280558576 7040744768 10561117152 21122234304