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22641447690 = 2325821306421
BaseRepresentation
bin10101000101100010…
…010001001100001010
32011102220212201021200
4111011202101030022
5332332202311230
614222404445030
71431035062401
oct250542211412
964386781250
1022641447690
119669563844
12447a6a9776
13219aa00334
14114b036638
158c7ad7160
hex54589130a

22641447690 has 48 divisors (see below), whose sum is σ = 58939658856. Its totient is φ = 6030345600.

The previous prime is 22641447643. The next prime is 22641447691. The reversal of 22641447690 is 9674414622.

22641447690 is a `hidden beast` number, since 22 + 64 + 14 + 476 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13513365009 + 9128082681 = 116247^2 + 95541^2 .

It is a super-2 number, since 2×226414476902 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22641447691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79321 + ... + 227100.

Almost surely, 222641447690 is an apocalyptic number.

22641447690 is an abundant number, since it is smaller than the sum of its proper divisors (36298211166).

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

22641447690 is a wasteful number, since it uses less digits than its factorization.

22641447690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307255 (or 307252 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 22641447690 in words is "twenty-two billion, six hundred forty-one million, four hundred forty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 821 1642 2463 4105 4926 7389 8210 12315 14778 24630 36945 73890 306421 612842 919263 1532105 1838526 2757789 3064210 4596315 5515578 9192630 13788945 27577890 251571641 503143282 754714923 1257858205 1509429846 2264144769 2515716410 3773574615 4528289538 7547149230 11320723845 22641447690