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22088134008144 = 24322325912573957
BaseRepresentation
bin1010000010110110010110…
…11000011001110101010000
32220012121100000222212010200
411001123023120121311100
510343342444301230034
6114551052040455200
74436546360155011
oct501331330316520
986177300885120
1022088134008144
1170465858a1686
1225889b347a500
13c42b95bb2c89
145650ddc75008
1528486a49da99
hex1416cb619d50

22088134008144 has 120 divisors (see below), whose sum is σ = 64528674043392. Its totient is φ = 7039872618240.

The previous prime is 22088134008137. The next prime is 22088134008263. The reversal of 22088134008144 is 44180043188022.

22088134008144 is a `hidden beast` number, since 2 + 20 + 8 + 81 + 3 + 400 + 8 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22088134008144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7294414 + ... + 9868370.

Almost surely, 222088134008144 is an apocalyptic number.

22088134008144 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 22088134008144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32264337021696).

22088134008144 is an abundant number, since it is smaller than the sum of its proper divisors (42440540035248).

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

22088134008144 is a wasteful number, since it uses less digits than its factorization.

22088134008144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576585 (or 2576576 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 22088134008144 in words is "twenty-two trillion, eighty-eight billion, one hundred thirty-four million, eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 2591 3312 5182 7773 10364 15546 20728 23319 31092 41456 46638 59593 62184 93276 119186 124368 178779 186552 238372 357558 373104 476744 536337 715116 953488 1072674 1430232 2145348 2573957 2860464 4290696 5147914 7721871 8581392 10295828 15443742 20591656 23165613 30887484 41183312 46331226 59201011 61774968 92662452 118402022 123549936 177603033 185324904 236804044 355206066 370649808 473608088 532809099 710412132 947216176 1065618198 1420824264 2131236396 2841648528 4262472792 6669122587 8524945584 13338245174 20007367761 26676490348 40014735522 53352980696 60022103283 80029471044 106705961392 120044206566 153389819501 160058942088 240088413132 306779639002 320117884176 460169458503 480176826264 613559278004 920338917006 960353652528 1227118556008 1380508375509 1840677834012 2454237112016 2761016751018 3681355668024 5522033502036 7362711336048 11044067004072 22088134008144