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22116975920 = 24513214910979
BaseRepresentation
bin10100100110010001…
…100100010100110000
32010002100222210021022
4110212101210110300
5330243421212140
614054351315012
71412036123234
oct244621442460
963070883238
1022116975920
11941a5023a6
124352b1ba68
13211615a600
1410db5105c4
15896a380b5
hex526464530

22116975920 has 120 divisors (see below), whose sum is σ = 56060586000. Its totient is φ = 8110722048.

The previous prime is 22116975919. The next prime is 22116975943. The reversal of 22116975920 is 2957961122.

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 23 ways as a sum of consecutive naturals, for example, 2008991 + ... + 2019969.

It is an arithmetic number, because the mean of its divisors is an integer number (467171550).

Almost surely, 222116975920 is an apocalyptic number.

22116975920 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 22116975920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28030293000).

22116975920 is an abundant number, since it is smaller than the sum of its proper divisors (33943610080).

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

22116975920 is a wasteful number, since it uses less digits than its factorization.

22116975920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11167 (or 11148 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 22116975920 in words is "twenty-two billion, one hundred sixteen million, nine hundred seventy-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 149 169 208 260 298 338 520 596 676 745 845 1040 1192 1352 1490 1690 1937 2384 2704 2980 3380 3874 5960 6760 7748 9685 10979 11920 13520 15496 19370 21958 25181 30992 38740 43916 50362 54895 77480 87832 100724 109790 125905 142727 154960 175664 201448 219580 251810 285454 402896 439160 503620 570908 713635 878320 1007240 1141816 1427270 1635871 1855451 2014480 2283632 2854540 3271742 3710902 5709080 6543484 7421804 8179355 9277255 11418160 13086968 14843608 16358710 18554510 21266323 26173936 29687216 32717420 37109020 42532646 65434840 74218040 85065292 106331615 130869680 148436080 170130584 212663230 276462199 340261168 425326460 552924398 850652920 1105848796 1382310995 1701305840 2211697592 2764621990 4423395184 5529243980 11058487960 22116975920