10225683144 has 24 divisors (see below), whose sum is σ = 27694558710. Its totient is φ = 3408561024.

The previous prime is 10225683121. The next prime is 10225683161. The reversal of 10225683144 is 44138652201.

It is a happy number.

10225683144 is a `hidden beast` number, since 1 + 0 + 22 + 568 + 31 + 44 = 666.

10225683144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9582452100 + 643231044 = 97890^2 + 25362^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10225683144² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10225683099 and 10225683108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71011617 + ... + 71011760.

Almost surely, 2^10225683144 is an apocalyptic number.

It is an amenable number.

10225683144 is an abundant number, since it is smaller than the sum of its proper divisors (17468875566).

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

10225683144 is a wasteful number, since it uses less digits than its factorization.

10225683144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142023389 (or 142023382 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 10225683144 in words is "ten billion, two hundred twenty-five million, six hundred eighty-three thousand, one hundred forty-four".