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22646040040 = 23513411062197
BaseRepresentation
bin10101000101110011…
…110010010111101000
32011110020112000210201
4111011303302113220
5332334341240130
614223051121544
71431122110231
oct250563622750
964406460721
1022646040040
119671110078
1244801432b4
13219b94a6c0
14114b8b0088
158c81e2bca
hex545cf25e8

22646040040 has 64 divisors (see below), whose sum is σ = 56211518160. Its totient is φ = 8157665280.

The previous prime is 22646040029. The next prime is 22646040059. The reversal of 22646040040 is 4004064622.

It can be written as a sum of positive squares in 8 ways, for example, as 1095212836 + 21550827204 = 33094^2 + 146802^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22646039990 and 22646040008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 509779 + ... + 552418.

Almost surely, 222646040040 is an apocalyptic number.

22646040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22646040040 is an abundant number, since it is smaller than the sum of its proper divisors (33565478120).

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

22646040040 is a wasteful number, since it uses less digits than its factorization.

22646040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062262 (or 1062258 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 22646040040 in words is "twenty-two billion, six hundred forty-six million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 2132 2665 4264 5330 10660 21320 1062197 2124394 4248788 5310985 8497576 10621970 13808561 21243940 27617122 42487880 43550077 55234244 69042805 87100154 110468488 138085610 174200308 217750385 276171220 348400616 435500770 552342440 566151001 871001540 1132302002 1742003080 2264604004 2830755005 4529208008 5661510010 11323020020 22646040040