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22115352040 = 2359711350441
BaseRepresentation
bin10100100110001011…
…010111110111101000
32010002020221021201121
4110212023113313220
5330243012231130
614054252425024
71412016251005
oct244613276750
963066837647
1022115352040
1194195a3351
124352478174
132115a0c432
1410db20a8ac
15896816d7a
hex5262d7de8

22115352040 has 64 divisors (see below), whose sum is σ = 50718422160. Its totient is φ = 8677294080.

The previous prime is 22115352023. The next prime is 22115352047. The reversal of 22115352040 is 4025351122.

It can be written as a sum of positive squares in 8 ways, for example, as 6569750916 + 15545601124 = 81054^2 + 124682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22115351996 and 22115352014.

It is not an unprimeable number, because it can be changed into a prime (22115352047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 413220 + ... + 463660.

Almost surely, 222115352040 is an apocalyptic number.

22115352040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22115352040 is an abundant number, since it is smaller than the sum of its proper divisors (28603070120).

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

22115352040 is a wasteful number, since it uses less digits than its factorization.

22115352040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50662 (or 50658 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 22115352040 in words is "twenty-two billion, one hundred fifteen million, three hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 97 113 194 226 388 452 485 565 776 904 970 1130 1940 2260 3880 4520 10961 21922 43844 50441 54805 87688 100882 109610 201764 219220 252205 403528 438440 504410 1008820 2017640 4892777 5699833 9785554 11399666 19571108 22799332 24463885 28499165 39142216 45598664 48927770 56998330 97855540 113996660 195711080 227993320 552883801 1105767602 2211535204 2764419005 4423070408 5528838010 11057676020 22115352040