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22117087680 = 263540135741
BaseRepresentation
bin10100100110010001…
…111111100111000000
32010002101012110120120
4110212101333213000
5330243433301210
614054353540240
71412040100122
oct244621774700
963071173516
1022117087680
11941a579366
124352b74680
13211619943c
1410db53d212
15896a5b270
hex52647f9c0

22117087680 has 112 divisors (see below), whose sum is σ = 70251486624. Its totient is φ = 5895393280.

The previous prime is 22117087633. The next prime is 22117087697. The reversal of 22117087680 is 8678071122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3849610 + ... + 3855350.

Almost surely, 222117087680 is an apocalyptic number.

22117087680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22117087680 is an abundant number, since it is smaller than the sum of its proper divisors (48134398944).

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

22117087680 is a wasteful number, since it uses less digits than its factorization.

22117087680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The spelling of 22117087680 in words is "twenty-two billion, one hundred seventeen million, eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 4013 5741 8026 11482 12039 16052 17223 20065 22964 24078 28705 32104 34446 40130 45928 48156 57410 60195 64208 68892 80260 86115 91856 96312 114820 120390 128416 137784 160520 172230 183712 192624 229640 240780 256832 275568 321040 344460 367424 385248 459280 481560 551136 642080 688920 770496 918560 963120 1102272 1284160 1377840 1837120 1926240 2755680 3852480 5511360 23038633 46077266 69115899 92154532 115193165 138231798 184309064 230386330 276463596 345579495 368618128 460772660 552927192 691158990 737236256 921545320 1105854384 1382317980 1474472512 1843090640 2211708768 2764635960 3686181280 4423417536 5529271920 7372362560 11058543840 22117087680