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22053514440 = 23351273673943
BaseRepresentation
bin10100100010011111…
…011110110011001000
32002220221120121111010
4110202133132303020
5330131144430230
614044203203520
71410335531316
oct244237366310
962827517433
1022053514440
1193976a78a1
1243358165a0
132105c6ac39
1410d2d110b6
1589119e9b0
hex5227decc8

22053514440 has 128 divisors (see below), whose sum is σ = 66880143360. Its totient is φ = 5817256704.

The previous prime is 22053514423. The next prime is 22053514459. The reversal of 22053514440 is 4441535022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22053514398 and 22053514407.

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, 5591109 + ... + 5595051.

It is an arithmetic number, because the mean of its divisors is an integer number (522501120).

Almost surely, 222053514440 is an apocalyptic number.

22053514440 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 22053514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33440071680).

22053514440 is an abundant number, since it is smaller than the sum of its proper divisors (44826628920).

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

22053514440 is a wasteful number, since it uses less digits than its factorization.

22053514440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4451 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 22053514440 in words is "twenty-two billion, fifty-three million, five hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 367 381 508 635 734 762 1016 1101 1270 1468 1524 1835 1905 2202 2540 2936 3048 3670 3810 3943 4404 5080 5505 7340 7620 7886 8808 11010 11829 14680 15240 15772 19715 22020 23658 31544 39430 44040 46609 47316 59145 78860 93218 94632 118290 139827 157720 186436 233045 236580 279654 372872 466090 473160 500761 559308 699135 932180 1001522 1118616 1398270 1447081 1502283 1864360 2003044 2503805 2796540 2894162 3004566 4006088 4341243 5007610 5593080 5788324 6009132 7235405 7511415 8682486 10015220 11576648 12018264 14470810 15022830 17364972 20030440 21706215 28941620 30045660 34729944 43412430 57883240 60091320 86824860 173649720 183779287 367558574 551337861 735117148 918896435 1102675722 1470234296 1837792870 2205351444 2756689305 3675585740 4410702888 5513378610 7351171480 11026757220 22053514440