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22142939940 = 223251114837541
BaseRepresentation
bin10100100111110100…
…100111001100100100
32010011011211220012200
4110213310213030210
5330322043034230
614101120014500
71412502612132
oct244764471444
963134756180
1022142939940
119433126570
12435b761430
13211b64b534
141100b4c752
15898e66160
hex527d27324

22142939940 has 144 divisors (see below), whose sum is σ = 73332133056. Its totient is φ = 5363654400.

The previous prime is 22142939939. The next prime is 22142939971. The reversal of 22142939940 is 4993924122.

22142939940 is a `hidden beast` number, since 2 + 214 + 2 + 9 + 399 + 40 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2932570 + ... + 2940110.

It is an arithmetic number, because the mean of its divisors is an integer number (509250924).

Almost surely, 222142939940 is an apocalyptic number.

22142939940 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 22142939940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36666066528).

22142939940 is an abundant number, since it is smaller than the sum of its proper divisors (51189193116).

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

22142939940 is a wasteful number, since it uses less digits than its factorization.

22142939940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050 (or 9045 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 22142939940 in words is "twenty-two billion, one hundred forty-two million, nine hundred thirty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1483 1980 2966 4449 5932 7415 7541 8898 13347 14830 15082 16313 17796 22245 22623 26694 29660 30164 32626 37705 44490 45246 48939 53388 65252 66735 67869 75410 81565 82951 88980 90492 97878 113115 133470 135738 146817 150820 163130 165902 195756 226230 244695 248853 266940 271476 293634 326260 331804 339345 414755 452460 489390 497706 587268 678690 734085 746559 829510 978780 995412 1244265 1357380 1468170 1493118 1659020 2488530 2936340 2986236 3732795 4977060 7465590 11183303 14931180 22366606 33549909 44733212 55916515 67099818 100649727 111833030 123016333 134199636 167749545 201299454 223666060 246032666 335499090 369048999 402598908 492065332 503248635 615081665 670998180 738097998 1006497270 1107146997 1230163330 1476195996 1845244995 2012994540 2214293994 2460326660 3690489990 4428587988 5535734985 7380979980 11071469970 22142939940