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22014125040 = 24351929166471
BaseRepresentation
bin10100100000001001…
…001110001111110000
32002211012110102101110
4110200021032033300
5330041104000130
614040235033320
71406346655365
oct244011161760
962735412343
1022014125040
119377443a76
12432459b840
1320caa592bb
1410cb9ba46c
1588c9bdab0
hex52024e3f0

22014125040 has 160 divisors (see below), whose sum is σ = 74313100800. Its totient is φ = 5369656320.

The previous prime is 22014124999. The next prime is 22014125057. The reversal of 22014125040 is 4052141022.

It is a junction number, because it is equal to n+sod(n) for n = 22014124998 and 22014125016.

It is a congruent number.

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, 49005 + ... + 215475.

It is an arithmetic number, because the mean of its divisors is an integer number (464456880).

Almost surely, 222014125040 is an apocalyptic number.

22014125040 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 22014125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37156550400).

22014125040 is an abundant number, since it is smaller than the sum of its proper divisors (52298975760).

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

22014125040 is a wasteful number, since it uses less digits than its factorization.

22014125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166535 (or 166529 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 22014125040 its reverse (4052141022), we get a palindrome (26066266062).

The spelling of 22014125040 in words is "twenty-two billion, fourteen million, one hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 38 40 48 57 58 60 76 80 87 95 114 116 120 145 152 174 190 228 232 240 285 290 304 348 380 435 456 464 551 570 580 696 760 870 912 1102 1140 1160 1392 1520 1653 1740 2204 2280 2320 2755 3306 3480 4408 4560 5510 6612 6960 8265 8816 11020 13224 16530 22040 26448 33060 44080 66120 132240 166471 332942 499413 665884 832355 998826 1331768 1664710 1997652 2497065 2663536 3162949 3329420 3995304 4827659 4994130 6325898 6658840 7990608 9488847 9655318 9988260 12651796 13317680 14482977 15814745 18977694 19310636 19976520 24138295 25303592 28965954 31629490 37955388 38621272 39953040 47444235 48276590 50607184 57931908 63258980 72414885 75910776 77242544 91725521 94888470 96553180 115863816 126517960 144829770 151821552 183451042 189776940 193106360 231727632 253035920 275176563 289659540 366902084 379553880 386212720 458627605 550353126 579319080 733804168 759107760 917255210 1100706252 1158638160 1375882815 1467608336 1834510420 2201412504 2751765630 3669020840 4402825008 5503531260 7338041680 11007062520 22014125040