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22024144220 = 22513259110441
BaseRepresentation
bin10100100000101111…
…011100010101011100
32002211220022110010012
4110200233130111130
5330101140103340
614041233502352
71406531065001
oct244057342534
962756273105
1022024144220
119382067591
124327a119b8
1320ccb56800
1410cd0678a8
1588d7ec565
hex520bdc55c

22024144220 has 72 divisors (see below), whose sum is σ = 50931432720. Its totient is φ = 7994088960.

The previous prime is 22024144213. The next prime is 22024144231. The reversal of 22024144220 is 2244142022.

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 23 ways as a sum of consecutive naturals, for example, 144200 + ... + 254640.

It is an arithmetic number, because the mean of its divisors is an integer number (707381010).

Almost surely, 222024144220 is an apocalyptic number.

22024144220 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 22024144220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25465716360).

22024144220 is an abundant number, since it is smaller than the sum of its proper divisors (28907288500).

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

22024144220 is a wasteful number, since it uses less digits than its factorization.

22024144220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110535 (or 110520 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 22024144220 its reverse (2244142022), we get a palindrome (24268286242).

The spelling of 22024144220 in words is "twenty-two billion, twenty-four million, one hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 169 236 260 295 338 590 676 767 845 1180 1534 1690 3068 3380 3835 7670 9971 15340 19942 39884 49855 99710 110441 199420 220882 441764 552205 1104410 1435733 2208820 2871466 5742932 6516019 7178665 13032038 14357330 18664529 26064076 28714660 32580095 37329058 65160190 74658116 84708247 93322645 130320380 169416494 186645290 338832988 373290580 423541235 847082470 1101207211 1694164940 2202414422 4404828844 5506036055 11012072110 22024144220