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22262066240 = 265304122877
BaseRepresentation
bin10100101110111011…
…000010110001000000
32010110111000010202212
4110232323002301000
5331043042104430
614121013201252
71415450304131
oct245673026100
963414003685
1022262066240
1194943a0957
124393630228
13213a22a87b
1411128bbc88
158a4647b95
hex52eec2c40

22262066240 has 56 divisors (see below), whose sum is σ = 53031295512. Its totient is φ = 8901509120.

The previous prime is 22262066171. The next prime is 22262066249. The reversal of 22262066240 is 4266026222.

It can be written as a sum of positive squares in 4 ways, for example, as 12825109504 + 9436956736 = 113248^2 + 97144^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 22262066197 and 22262066206.

It is not an unprimeable number, because it can be changed into a prime (22262066249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 961682 + ... + 984558.

Almost surely, 222262066240 is an apocalyptic number.

22262066240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22262066240 is an abundant number, since it is smaller than the sum of its proper divisors (30769229272).

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

22262066240 is a wasteful number, since it uses less digits than its factorization.

22262066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25935 (or 25925 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 22262066240 in words is "twenty-two billion, two hundred sixty-two million, sixty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 3041 6082 12164 15205 22877 24328 30410 45754 48656 60820 91508 97312 114385 121640 183016 194624 228770 243280 366032 457540 486560 732064 915080 973120 1464128 1830160 3660320 7320640 69568957 139137914 278275828 347844785 556551656 695689570 1113103312 1391379140 2226206624 2782758280 4452413248 5565516560 11131033120 22262066240