Search a number
-
+
22122790050192 = 243131491213196159
BaseRepresentation
bin1010000011110110111010…
…00010101101100110010000
32220022220210021110012110120
411001323131002231212100
510344424433223101232
6115015023000030240
74442214234520326
oct501733502554620
986286707405416
1022122790050192
11705a24a274a47
122593665762380
13c46229a87930
14566a6a807d16
152856e7c3a92c
hex141edd0ad990

22122790050192 has 160 divisors (see below), whose sum is σ = 62011197696000. Its totient is φ = 6755719182336.

The previous prime is 22122790050191. The next prime is 22122790050223. The reversal of 22122790050192 is 29105009722122.

It is not an unprimeable number, because it can be changed into a prime (22122790050191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112681809 + ... + 112877967.

It is an arithmetic number, because the mean of its divisors is an integer number (387569985600).

Almost surely, 222122790050192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122790050192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31005598848000).

22122790050192 is an abundant number, since it is smaller than the sum of its proper divisors (39888407645808).

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

22122790050192 is a wasteful number, since it uses less digits than its factorization.

22122790050192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197545 (or 197539 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 22122790050192 in words is "twenty-two trillion, one hundred twenty-two billion, seven hundred ninety million, fifty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 149 156 208 298 312 447 596 624 894 1192 1213 1788 1937 2384 2426 3576 3639 3874 4852 5811 7152 7278 7748 9704 11622 14556 15496 15769 19408 23244 29112 30992 31538 46488 47307 58224 63076 92976 94614 126152 180737 189228 196159 252304 361474 378456 392318 542211 588477 722948 756912 784636 1084422 1176954 1445896 1569272 2168844 2349581 2353908 2550067 2891792 3138544 4337688 4699162 4707816 5100134 7048743 7650201 8675376 9398324 9415632 10200268 14097486 15300402 18796648 20400536 28194972 29227691 30600804 37593296 40801072 56389944 58455382 61201608 87683073 112779888 116910764 122403216 175366146 233821528 237940867 350732292 379959983 467643056 475881734 701464584 713822601 759919966 951763468 1139879949 1402929168 1427645202 1519839932 1903526936 2279759898 2855290404 3039679864 3093231271 3807053872 4559519796 5710580808 6079359728 6186462542 9119039592 9279693813 11421161616 12372925084 18238079184 18559387626 24745850168 35453189183 37118775252 49491700336 70906378366 74237550504 106359567549 141812756732 148475101008 212719135098 283625513464 425438270196 460891459379 567251026928 850876540392 921782918758 1382674378137 1701753080784 1843565837516 2765348756274 3687131675032 5530697512548 7374263350064 11061395025096 22122790050192