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21223558356 = 223721113252409
BaseRepresentation
bin10011110001000001…
…011100110011010100
32000210002212110202220
4103301001130303110
5321431212331411
613425554302340
71350640161300
oct236101346324
960702773686
1021223558356
119001166580
1241438879b0
13200302a070
1410549c8d00
158433abb06
hex4f105ccd4

21223558356 has 144 divisors (see below), whose sum is σ = 67678188480. Its totient is φ = 5088545280.

The previous prime is 21223558351. The next prime is 21223558393. The reversal of 21223558356 is 65385532212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223558351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42121 + ... + 210288.

It is an arithmetic number, because the mean of its divisors is an integer number (469987420).

Almost surely, 221223558356 is an apocalyptic number.

21223558356 is a gapful number since it is divisible by the number (26) 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 21223558356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33839094240).

21223558356 is an abundant number, since it is smaller than the sum of its proper divisors (46454630124).

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

21223558356 is a wasteful number, since it uses less digits than its factorization.

21223558356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252454 (or 252445 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The spelling of 21223558356 in words is "twenty-one billion, two hundred twenty-three million, five hundred fifty-eight thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 252409 504818 757227 1009636 1514454 1766863 2776499 3028908 3281317 3533726 5300589 5552998 6562634 7067452 8329497 9843951 10601178 11105996 12368041 13125268 16658994 19435493 19687902 21202356 22969219 24736082 33317988 36094487 37104123 38870986 39375804 45938438 49472164 58306479 68907657 72188974 74208246 77741972 91876876 108283461 116612958 136048451 137815314 144377948 148416492 160784533 216566922 233225916 252661409 272096902 275630628 321569066 408145353 433133844 482353599 505322818 544193804 643138132 757984227 816290706 964707198 1010645636 1515968454 1632581412 1768629863 1929414396 3031936908 3537259726 5305889589 7074519452 10611779178 21223558356