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21224345640 = 23351722745833
BaseRepresentation
bin10011110001000100…
…011101000000101000
32000210011100110201120
4103301010131000220
5321431413030030
613430023215240
71350646650501
oct236104350050
960704313646
1021224345640
119001654023
124143ba7520
132003244504
141054b51ba8
158434b5010
hex4f111d028

21224345640 has 128 divisors (see below), whose sum is σ = 67716984960. Its totient is φ = 5303312384.

The previous prime is 21224345633. The next prime is 21224345671. The reversal of 21224345640 is 4654342212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440164 + ... + 485996.

It is an arithmetic number, because the mean of its divisors is an integer number (529038945).

Almost surely, 221224345640 is an apocalyptic number.

21224345640 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 21224345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33858492480).

21224345640 is an abundant number, since it is smaller than the sum of its proper divisors (46492639320).

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

21224345640 is a wasteful number, since it uses less digits than its factorization.

21224345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46091 (or 46087 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 21224345640 its reverse (4654342212), we get a palindrome (25878687852).

The spelling of 21224345640 in words is "twenty-one billion, two hundred twenty-four million, three hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 227 255 340 408 454 510 680 681 908 1020 1135 1362 1816 2040 2270 2724 3405 3859 4540 5448 6810 7718 9080 11577 13620 15436 19295 23154 27240 30872 38590 45833 46308 57885 77180 91666 92616 115770 137499 154360 183332 229165 231540 274998 366664 458330 463080 549996 687495 779161 916660 1099992 1374990 1558322 1833320 2337483 2749980 3116644 3895805 4674966 5499960 6233288 7791610 9349932 10404091 11687415 15583220 18699864 20808182 23374830 31166440 31212273 41616364 46749660 52020455 62424546 83232728 93499320 104040910 124849092 156061365 176869547 208081820 249698184 312122730 353739094 416163640 530608641 624245460 707478188 884347735 1061217282 1248490920 1414956376 1768695470 2122434564 2653043205 3537390940 4244869128 5306086410 7074781880 10612172820 21224345640