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22642220640 = 2535133628561
BaseRepresentation
bin10101000101100101…
…001101111001100000
32011102222022222120110
4111011211031321200
5332332402030030
614222433211320
71431044462034
oct250545157140
964388288513
1022642220640
119669a41546
12447aa00b40
13219ac110c0
14114b1981c4
158c7bdb1b0
hex54594de60

22642220640 has 96 divisors (see below), whose sum is σ = 76809400416. Its totient is φ = 5573468160.

The previous prime is 22642220617. The next prime is 22642220651. The reversal of 22642220640 is 4602224622.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22642220598 and 22642220607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1808041 + ... + 1820520.

It is an arithmetic number, because the mean of its divisors is an integer number (800097921).

Almost surely, 222642220640 is an apocalyptic number.

22642220640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22642220640 is an abundant number, since it is smaller than the sum of its proper divisors (54167179776).

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

22642220640 is a wasteful number, since it uses less digits than its factorization.

22642220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628592 (or 3628584 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 22642220640 in words is "twenty-two billion, six hundred forty-two million, two hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 3628561 7257122 10885683 14514244 18142805 21771366 29028488 36285610 43542732 47171293 54428415 58056976 72571220 87085464 94342586 108856830 116113952 141513879 145142440 174170928 188685172 217713660 235856465 283027758 290284880 348341856 377370344 435427320 471712930 566055516 580569760 707569395 754740688 870854640 943425860 1132111032 1415138790 1509481376 1741709280 1886851720 2264222064 2830277580 3773703440 4528444128 5660555160 7547406880 11321110320 22642220640