10226313972 has 144 divisors (see below), whose sum is σ = 30348025344. Its totient is φ = 2842560000.

The previous prime is 10226313959. The next prime is 10226314031. The reversal of 10226313972 is 27931362201.

10226313972 is a `hidden beast` number, since 1 + 0 + 2 + 263 + 1 + 397 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4348597 + ... + 4350947.

It is an arithmetic number, because the mean of its divisors is an integer number (210750176).

Almost surely, 2^10226313972 is an apocalyptic number.

10226313972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10226313972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174012672).

10226313972 is an abundant number, since it is smaller than the sum of its proper divisors (20121711372).

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

10226313972 is a wasteful number, since it uses less digits than its factorization.

10226313972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 10226313972 in words is "ten billion, two hundred twenty-six million, three hundred thirteen thousand, nine hundred seventy-two".