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22081556880 = 2433510979319
BaseRepresentation
bin10100100100001010…
…011101000110010000
32002222220100022111000
4110210022131012100
5330210334310010
614051044222000
71411126064565
oct244412350620
962886308430
1022081556880
119401510569
12434309a900
13210ba08bb6
1410d693086c
1589388d7c0
hex52429d190

22081556880 has 160 divisors (see below), whose sum is σ = 76136198400. Its totient is φ = 5882416128.

The previous prime is 22081556879. The next prime is 22081556881. The reversal of 22081556880 is 8865518022.

22081556880 is a `hidden beast` number, since 2 + 2 + 0 + 8 + 1 + 5 + 568 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (22081556879) and next prime (22081556881).

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

It is not an unprimeable number, because it can be changed into a prime (22081556881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2364861 + ... + 2374179.

It is an arithmetic number, because the mean of its divisors is an integer number (475851240).

Almost surely, 222081556880 is an apocalyptic number.

22081556880 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 22081556880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38068099200).

22081556880 is an abundant number, since it is smaller than the sum of its proper divisors (54054641520).

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

22081556880 is a wasteful number, since it uses less digits than its factorization.

22081556880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 22081556880 in words is "twenty-two billion, eighty-one million, five hundred fifty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 1097 2160 2194 3291 4388 5485 6582 8776 9319 9873 10970 13164 16455 17552 18638 19746 21940 26328 27957 29619 32910 37276 39492 43880 46595 49365 52656 55914 59238 65820 74552 78984 83871 87760 93190 98730 111828 118476 131640 139785 148095 149104 157968 167742 186380 197460 223656 236952 251613 263280 279570 296190 335484 372760 394920 419355 447312 473904 503226 559140 592380 670968 745520 789840 838710 1006452 1118280 1184760 1258065 1341936 1677420 2012904 2236560 2369520 2516130 3354840 4025808 5032260 6709680 10064520 10222943 20129040 20445886 30668829 40891772 51114715 61337658 81783544 92006487 102229430 122675316 153344145 163567088 184012974 204458860 245350632 276019461 306688290 368025948 408917720 460032435 490701264 552038922 613376580 736051896 817835440 920064870 1104077844 1226753160 1380097305 1472103792 1840129740 2208155688 2453506320 2760194610 3680259480 4416311376 5520389220 7360518960 11040778440 22081556880