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22077243144 = 23331125137019
BaseRepresentation
bin10100100011111001…
…111111111100001000
32002222121020011011000
4110203321333330020
5330203233240034
614050411535000
71411044320235
oct244371777410
962877204130
1022077243144
1193aa0345a0
12434175a460
13210ab585a8
1410d612a78c
158932da599
hex523e7ff08

22077243144 has 128 divisors (see below), whose sum is σ = 67169088000. Its totient is φ = 6663240000.

The previous prime is 22077243143. The next prime is 22077243161. The reversal of 22077243144 is 44134277022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22077243099 and 22077243108.

It is not an unprimeable number, because it can be changed into a prime (22077243143) 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, 577867 + ... + 614885.

It is an arithmetic number, because the mean of its divisors is an integer number (524758500).

Almost surely, 222077243144 is an apocalyptic number.

22077243144 is a gapful number since it is divisible by the number (24) 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 22077243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33584544000).

22077243144 is an abundant number, since it is smaller than the sum of its proper divisors (45091844856).

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

22077243144 is a wasteful number, since it uses less digits than its factorization.

22077243144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37296 (or 37286 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 22077243144 in words is "twenty-two billion, seventy-seven million, two hundred forty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 251 264 297 396 502 594 753 792 1004 1188 1506 2008 2259 2376 2761 3012 4518 5522 6024 6777 8283 9036 11044 13554 16566 18072 22088 24849 27108 33132 37019 49698 54216 66264 74038 74547 99396 111057 148076 149094 198792 222114 296152 298188 333171 407209 444228 596376 666342 814418 888456 999513 1221627 1332684 1628836 1999026 2443254 2665368 3257672 3664881 3998052 4886508 7329762 7996104 9291769 9773016 10994643 14659524 18583538 21989286 27875307 29319048 37167076 43978572 55750614 74334152 83625921 87957144 102209459 111501228 167251842 204418918 223002456 250877763 306628377 334503684 408837836 501755526 613256754 669007368 817675672 919885131 1003511052 1226513508 1839770262 2007022104 2453027016 2759655393 3679540524 5519310786 7359081048 11038621572 22077243144