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22406645744 = 2473125725111
BaseRepresentation
bin10100110111100010…
…100100011111110000
32010211120001112120022
4110313202210133300
5331342100130434
614143220103012
71422154226540
oct246742443760
963746045508
1022406645744
119558a7064a
124413b34a68
13216117c482
141127b95320
158b21a622e
hex5378a47f0

22406645744 has 80 divisors (see below), whose sum is σ = 51416518656. Its totient is φ = 9256550400.

The previous prime is 22406645741. The next prime is 22406645749. The reversal of 22406645744 is 44754660422.

It is a super-2 number, since 2×224066457442 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22406645695 and 22406645704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22406645741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879749 + ... + 904859.

Almost surely, 222406645744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22406645744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25708259328).

22406645744 is an abundant number, since it is smaller than the sum of its proper divisors (29009872912).

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

22406645744 is a wasteful number, since it uses less digits than its factorization.

22406645744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25414 (or 25408 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 44.

The spelling of 22406645744 in words is "twenty-two billion, four hundred six million, six hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 257 434 496 514 868 1028 1736 1799 2056 3472 3598 4112 7196 7967 14392 15934 25111 28784 31868 50222 55769 63736 100444 111538 127472 175777 200888 223076 351554 401776 446152 703108 778441 892304 1406216 1556882 2812432 3113764 5449087 6227528 6453527 10898174 12455056 12907054 21796348 25814108 43592696 45174689 51628216 87185392 90349378 103256432 180698756 200059337 361397512 400118674 722795024 800237348 1400415359 1600474696 2800830718 3200949392 5601661436 11203322872 22406645744