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22004440080 = 2435723815501
BaseRepresentation
bin10100011111100100…
…010001110000010000
32002210112020101010020
4110133210101300100
5330031114040310
614035251303440
71406201440350
oct243744216020
962715211106
1022004440080
119371a29577
1243212aab80
1320c8a47c5c
1410ca5b8b60
1588bc09170
hex51f911c10

22004440080 has 160 divisors (see below), whose sum is σ = 78005507328. Its totient is φ = 5026560000.

The previous prime is 22004440079. The next prime is 22004440121. The reversal of 22004440080 is 8004440022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22004440080.

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, 3997330 + ... + 4002830.

Almost surely, 222004440080 is an apocalyptic number.

22004440080 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 22004440080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39002753664).

22004440080 is an abundant number, since it is smaller than the sum of its proper divisors (56001067248).

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

22004440080 is a wasteful number, since it uses less digits than its factorization.

22004440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7905 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The spelling of 22004440080 in words is "twenty-two billion, four million, four hundred forty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 2381 4762 5501 7143 9524 11002 11905 14286 16503 16667 19048 22004 23810 27505 28572 33006 33334 35715 38096 38507 44008 47620 50001 55010 57144 66012 66668 71430 77014 82515 83335 88016 95240 100002 110020 114288 115521 132024 133336 142860 154028 165030 166670 190480 192535 200004 220040 231042 250005 264048 266672 285720 308056 330060 333340 385070 400008 440080 462084 500010 571440 577605 616112 660120 666680 770140 800016 924168 1000020 1155210 1320240 1333360 1540280 1848336 2000040 2310420 3080560 4000080 4620840 9241680 13097881 26195762 39293643 52391524 65489405 78587286 91685167 104783048 130978810 157174572 183370334 196468215 209566096 261957620 275055501 314349144 366740668 392936430 458425835 523915240 550111002 628698288 733481336 785872860 916851670 1047830480 1100222004 1375277505 1466962672 1571745720 1833703340 2200444008 2750555010 3143491440 3667406680 4400888016 5501110020 7334813360 11002220040 22004440080