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22621444740 = 22325177392629
BaseRepresentation
bin10101000100010101…
…111101101010000100
32011101112020110101200
4111010111331222010
5332312042212430
614220412022500
71430403051636
oct250425755204
964345213350
1022621444740
119659241284
124473a61a30
13219681877b
14114850aa56
158c5e85460
hex54457da84

22621444740 has 72 divisors (see below), whose sum is σ = 72654767640. Its totient is φ = 5677538304.

The previous prime is 22621444739. The next prime is 22621444823. The reversal of 22621444740 is 4744412622.

22621444740 is a `hidden beast` number, since 22 + 621 + 4 + 4 + 4 + 7 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3992470596 + 18628974144 = 63186^2 + 136488^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 22621444695 and 22621444704.

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, 3693255 + ... + 3699374.

It is an arithmetic number, because the mean of its divisors is an integer number (1009093995).

Almost surely, 222621444740 is an apocalyptic number.

22621444740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22621444740 is an abundant number, since it is smaller than the sum of its proper divisors (50033322900).

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

22621444740 is a wasteful number, since it uses less digits than its factorization.

22621444740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7392661 (or 7392656 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 22621444740 in words is "twenty-two billion, six hundred twenty-one million, four hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 7392629 14785258 22177887 29570516 36963145 44355774 66533661 73926290 88711548 110889435 125674693 133067322 147852580 221778870 251349386 266134644 332668305 377024079 443557740 502698772 628373465 665336610 754048158 1131072237 1256746930 1330673220 1508096316 1885120395 2262144474 2513493860 3770240790 4524288948 5655361185 7540481580 11310722370 22621444740