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22020020988 = 22371918531609
BaseRepresentation
bin10100100000011111…
…101101101011111100
32002211121112222002220
4110200133231223330
5330044111132423
614041005245340
71406451042630
oct244037555374
962747488086
1022020020988
11937a800759
124326563850
1320cc041b24
1410cc6b2dc0
1588d2859e3
hex5207edafc

22020020988 has 96 divisors (see below), whose sum is σ = 59133419520. Its totient is φ = 6247272960.

The previous prime is 22020020977. The next prime is 22020020993. The reversal of 22020020988 is 88902002022.

It is a super-2 number, since 2×220200209882 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 13684728 + ... + 13686336.

It is an arithmetic number, because the mean of its divisors is an integer number (615973120).

Almost surely, 222020020988 is an apocalyptic number.

22020020988 is a gapful number since it is divisible by the number (28) 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 22020020988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29566709760).

22020020988 is an abundant number, since it is smaller than the sum of its proper divisors (37113398532).

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

22020020988 is a wasteful number, since it uses less digits than its factorization.

22020020988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 22020020988 in words is "twenty-two billion, twenty million, twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 191 382 573 764 853 1146 1337 1609 1706 2292 2559 2674 3218 3412 4011 4827 5118 5348 5971 6436 8022 9654 10236 11263 11942 16044 17913 19308 22526 23884 33789 35826 45052 67578 71652 135156 162923 307319 325846 488769 614638 651692 921957 977538 1140461 1229276 1372477 1843914 1955076 2151233 2280922 2744954 3421383 3687828 4117431 4302466 4561844 5489908 6453699 6842766 8234862 8604932 9607339 12907398 13685532 16469724 19214678 25814796 28822017 38429356 57644034 115288068 262143107 524286214 786429321 1048572428 1572858642 1835001749 3145717284 3670003498 5505005247 7340006996 11010010494 22020020988