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22700344480 = 2551116377879
BaseRepresentation
bin10101001001000010…
…111100010010100000
32011121000200222111021
4111021002330102200
5332442242010410
614232311055224
71432351513222
oct251102742240
964530628437
1022700344480
119699830880
124496371514
1321a9c820c8
141154ba8412
158ccd6ceda
hex5490bc4a0

22700344480 has 96 divisors (see below), whose sum is σ = 58548147840. Its totient is φ = 8248581120.

The previous prime is 22700344453. The next prime is 22700344531. The reversal of 22700344480 is 8444300722.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2877181 + ... + 2885059.

It is an arithmetic number, because the mean of its divisors is an integer number (609876540).

Almost surely, 222700344480 is an apocalyptic number.

22700344480 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 22700344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29274073920).

22700344480 is an abundant number, since it is smaller than the sum of its proper divisors (35847803360).

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

22700344480 is a wasteful number, since it uses less digits than its factorization.

22700344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9542 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The spelling of 22700344480 in words is "twenty-two billion, seven hundred million, three hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1637 1760 3274 6548 7879 8185 13096 15758 16370 18007 26192 31516 32740 36014 39395 52384 63032 65480 72028 78790 86669 90035 126064 130960 144056 157580 173338 180070 252128 261920 288112 315160 346676 360140 433345 576224 630320 693352 720280 866690 1260640 1386704 1440560 1733380 2773408 2881120 3466760 6933520 12897923 13867040 25795846 51591692 64489615 103183384 128979230 141877153 206366768 257958460 283754306 412733536 515916920 567508612 709385765 1031833840 1135017224 1418771530 2063667680 2270034448 2837543060 4540068896 5675086120 11350172240 22700344480