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10225930050 = 23452722272
BaseRepresentation
bin10011000011000001…
…10100111101000010
3222101122220001220000
421201200310331002
5131420314230200
64410413100430
7511256654100
oct114140647502
928348801800
1010225930050
1143782a8666
121b94787716
13c6c7530ab
146d0174c70
153ecb3a300
hex261834f42

10225930050 has 270 divisors, whose sum is σ = 33198026697. Its totient is φ = 2327058720.

The previous prime is 10225930003. The next prime is 10225930051. The reversal of 10225930050 is 5003952201.

10225930050 is a `hidden beast` number, since 1 + 0 + 22 + 593 + 0 + 0 + 50 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10021411449 + 204518601 = 100107^2 + 14301^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=71505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10225929996 and 10225930023.

It is not an unprimeable number, because it can be changed into a prime (10225930051) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 45048037 + ... + 45048263.

Almost surely, 210225930050 is an apocalyptic number.

10225930050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225930050

10225930050 is an abundant number, since it is smaller than the sum of its proper divisors (22972096647).

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

10225930050 is an equidigital number, since it uses as much as digits as its factorization.

10225930050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 10225930050 in words is "ten billion, two hundred twenty-five million, nine hundred thirty thousand, fifty".