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22241648745 = 3252926336473
BaseRepresentation
bin10100101101101101…
…001010000001101001
32010102001120211020100
4110231231022001221
5331022330224440
614115003420013
71415111615661
oct245555120151
963361524210
1022241648745
119483915998
124388824609
132135c2c404
14110dcc51a1
158a2963230
hex52db4a069

22241648745 has 48 divisors (see below), whose sum is σ = 39902887440. Its totient is φ = 11447052288.

The previous prime is 22241648699. The next prime is 22241648753. The reversal of 22241648745 is 54784614222.

22241648745 is a `hidden beast` number, since 222 + 416 + 4 + 8 + 7 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3606122601 + 18635526144 = 60051^2 + 136512^2 .

It is not a de Polignac number, because 22241648745 - 27 = 22241648617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22241648745.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3432829 + ... + 3439301.

It is an arithmetic number, because the mean of its divisors is an integer number (831310155).

Almost surely, 222241648745 is an apocalyptic number.

It is an amenable number.

22241648745 is a deficient number, since it is larger than the sum of its proper divisors (17661238695).

22241648745 is a wasteful number, since it uses less digits than its factorization.

22241648745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9143 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 22241648745 in words is "twenty-two billion, two hundred forty-one million, six hundred forty-eight thousand, seven hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 2633 6473 7899 13165 19419 23697 32365 39495 58257 76357 97095 118485 187717 229071 291285 381785 563151 687213 938585 1145355 1689453 2815755 3436065 8447265 17043409 51130227 85217045 153390681 255651135 494258861 766953405 1482776583 2471294305 4448329749 7413882915 22241648745