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22424400420 = 223517911871759
BaseRepresentation
bin10100111000100110…
…010011001000100100
32010212210110120101220
4110320212103020210
5331411121303140
614145052420340
71422461154462
oct247046231044
963783416356
1022424400420
119567a97a34
124419a776b0
132164a578b6
14112a297832
158b3a11bd0
hex538993224

22424400420 has 96 divisors (see below), whose sum is σ = 63228211200. Its totient is φ = 5938045824.

The previous prime is 22424400407. The next prime is 22424400433. The reversal of 22424400420 is 2400442422.

It is an interprime number because it is at equal distance from previous prime (22424400407) and next prime (22424400433).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12747501 + ... + 12749259.

It is an arithmetic number, because the mean of its divisors is an integer number (658627200).

Almost surely, 222424400420 is an apocalyptic number.

22424400420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22424400420 is an abundant number, since it is smaller than the sum of its proper divisors (40803810780).

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

22424400420 is a wasteful number, since it uses less digits than its factorization.

22424400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 22424400420 its reverse (2400442422), we get a palindrome (24824842842).

The spelling of 22424400420 in words is "twenty-two billion, four hundred twenty-four million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 179 358 537 716 895 1074 1187 1759 1790 2148 2374 2685 3518 3561 3580 4748 5277 5370 5935 7036 7122 8795 10554 10740 11870 14244 17590 17805 21108 23740 26385 35180 35610 52770 71220 105540 212473 314861 424946 629722 637419 849892 944583 1062365 1259444 1274838 1574305 1889166 2087933 2124730 2549676 3148610 3187095 3778332 4175866 4249460 4722915 6263799 6297220 6374190 8351732 9445830 10439665 12527598 12748380 18891660 20879330 25055196 31318995 41758660 62637990 125275980 373740007 747480014 1121220021 1494960028 1868700035 2242440042 3737400070 4484880084 5606100105 7474800140 11212200210 22424400420