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21934559600 = 24522394792
BaseRepresentation
bin10100011011011001…
…101101000101110000
32002121122202002010022
4110123121231011300
5324410221401400
614024313423012
71404362452232
oct243331550560
962548662108
1021934559600
11933653a308
124301a0aa68
1320b741b965
1410c11c8252
15885a03b85
hex51b66d170

21934559600 has 90 divisors (see below), whose sum is σ = 53028979440. Its totient is φ = 8718872960.

The previous prime is 21934559599. The next prime is 21934559627. The reversal of 21934559600 is 695543912.

It is a super-2 number, since 2×219345596002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45792161 + ... + 45792639.

Almost surely, 221934559600 is an apocalyptic number.

21934559600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21934559600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26514489720).

21934559600 is an abundant number, since it is smaller than the sum of its proper divisors (31094419840).

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

21934559600 is an equidigital number, since it uses as much as digits as its factorization.

21934559600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The spelling of 21934559600 in words is "twenty-one billion, nine hundred thirty-four million, five hundred fifty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 239 400 478 479 956 958 1195 1912 1916 2390 2395 3824 3832 4780 4790 5975 7664 9560 9580 11950 11975 19120 19160 23900 23950 38320 47800 47900 95600 95800 114481 191600 228962 229441 457924 458882 572405 915848 917764 1144810 1147205 1831696 1835528 2289620 2294410 2862025 3671056 4579240 4588820 5724050 5736025 9158480 9177640 11448100 11472050 18355280 22896200 22944100 45792400 45888200 54836399 91776400 109672798 219345596 274181995 438691192 548363990 877382384 1096727980 1370909975 2193455960 2741819950 4386911920 5483639900 10967279800 21934559600