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10225634140 = 225737003859
BaseRepresentation
bin10011000010111111…
…01100101101011100
3222101122100000222101
421201133230231130
5131420230243030
64410402454444
7511254312301
oct114137545534
928348300871
1010225634140
114378116307
121b94664424
13c6c67b4b7
146d00d90a8
153ecacc7ca
hex2617ecb5c

10225634140 has 24 divisors (see below), whose sum is σ = 21767996880. Its totient is φ = 4034222208.

The previous prime is 10225634077. The next prime is 10225634141. The reversal of 10225634140 is 4143652201.

It is a junction number, because it is equal to n+sod(n) for n = 10225634099 and 10225634108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225634141) 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 7 ways as a sum of consecutive naturals, for example, 3500470 + ... + 3503389.

It is an arithmetic number, because the mean of its divisors is an integer number (906999870).

Almost surely, 210225634140 is an apocalyptic number.

10225634140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10225634140 is an abundant number, since it is smaller than the sum of its proper divisors (11542362740).

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

10225634140 is a wasteful number, since it uses less digits than its factorization.

10225634140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003941 (or 7003939 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 10225634140 in words is "ten billion, two hundred twenty-five million, six hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 7003859 14007718 28015436 35019295 70038590 140077180 511281707 1022563414 2045126828 2556408535 5112817070 10225634140