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22441408920 = 2332578905321
BaseRepresentation
bin10100111001100111…
…001011100110011000
32010220222110200200100
4110321213023212120
5331430000041140
614150501135400
71423055554110
oct247147134630
963828420610
1022441408920
119576654747
1244236ba560
1321684314b8
14112c644040
158b5271530
hex5399cb998

22441408920 has 96 divisors (see below), whose sum is σ = 83353813920. Its totient is φ = 5129464320.

The previous prime is 22441408903. The next prime is 22441408937. The reversal of 22441408920 is 2980414422.

22441408920 is a `hidden beast` number, since 2 + 244 + 1 + 408 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22441408903) and next prime (22441408937).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4450141 + ... + 4455180.

It is an arithmetic number, because the mean of its divisors is an integer number (868268895).

Almost surely, 222441408920 is an apocalyptic number.

22441408920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22441408920 is an abundant number, since it is smaller than the sum of its proper divisors (60912405000).

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

22441408920 is a wasteful number, since it uses less digits than its factorization.

22441408920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8905345 (or 8905338 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22441408920 in words is "twenty-two billion, four hundred forty-one million, four hundred eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 8905321 17810642 26715963 35621284 44526605 53431926 62337247 71242568 80147889 89053210 106863852 124674494 133579815 160295778 178106420 187011741 213727704 249348988 267159630 311686235 320591556 356212840 374023482 400739445 498697976 534319260 561035223 623372470 641183112 748046964 801478890 935058705 1068638520 1122070446 1246744940 1496093928 1602957780 1870117410 2244140892 2493489880 2805176115 3205915560 3740234820 4488281784 5610352230 7480469640 11220704460 22441408920