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22257721040 = 245307906259
BaseRepresentation
bin10100101110101010…
…011101111011010000
32010110011211101021112
4110232222131323100
5331040434033130
614120340112452
71415365335662
oct245652357320
963404741245
1022257721040
1194919a3285
124392095728
132139368b49
1411120aa532
158a408a495
hex52ea9ded0

22257721040 has 40 divisors (see below), whose sum is σ = 51917822880. Its totient is φ = 8874078336.

The previous prime is 22257721033. The next prime is 22257721081. The reversal of 22257721040 is 4012775222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×222577210402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22257720988 and 22257721006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428570 + ... + 477689.

It is an arithmetic number, because the mean of its divisors is an integer number (1297945572).

Almost surely, 222257721040 is an apocalyptic number.

22257721040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22257721040 is an abundant number, since it is smaller than the sum of its proper divisors (29660101840).

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

22257721040 is a wasteful number, since it uses less digits than its factorization.

22257721040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906579 (or 906573 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The spelling of 22257721040 in words is "twenty-two billion, two hundred fifty-seven million, seven hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 307 614 1228 1535 2456 3070 4912 6140 12280 24560 906259 1812518 3625036 4531295 7250072 9062590 14500144 18125180 36250360 72500720 278221513 556443026 1112886052 1391107565 2225772104 2782215130 4451544208 5564430260 11128860520 22257721040