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22655541248 = 21316632
BaseRepresentation
bin10101000110011000…
…000010000000000000
32011110220101202000022
4111012120002000000
5332344304304443
614224030513012
71431265631444
oct250630020000
964426352008
1022655541248
11967650a50a
124483365768
1321a08c6212
14114cc64824
158c8e6ce68
hex546602000

22655541248 has 42 divisors (see below), whose sum is σ = 45335578239. Its totient is φ = 11320958976.

The previous prime is 22655541239. The next prime is 22655541263. The reversal of 22655541248 is 84214555622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 11327770624 + 11327770624 = 106432^2 + 106432^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106432.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22655541199 and 22655541208.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 13622465 + ... + 13624127.

Almost surely, 222655541248 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 22655541248

22655541248 is an abundant number, since it is smaller than the sum of its proper divisors (22680036991).

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

22655541248 is an frugal number, since it uses more digits than its factorization.

22655541248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 1665 counting only the distinct ones).

The product of its digits is 768000, while the sum is 44.

The spelling of 22655541248 in words is "twenty-two billion, six hundred fifty-five million, five hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1663 2048 3326 4096 6652 8192 13304 26608 53216 106432 212864 425728 851456 1702912 2765569 3405824 5531138 6811648 11062276 13623296 22124552 44249104 88498208 176996416 353992832 707985664 1415971328 2831942656 5663885312 11327770624 22655541248