21225833310 has 144 divisors (see below), whose sum is σ = 59484560688. Its totient is φ = 4842731520.

The previous prime is 21225833267. The next prime is 21225833311. The reversal of 21225833310 is 1333852212.

It is a happy number.

It is a super-2 number, since 2×21225833310² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21225833311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1038954 + ... + 1059186.

It is an arithmetic number, because the mean of its divisors is an integer number (413087227).

Almost surely, 2^21225833310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21225833310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29742280344).

21225833310 is an abundant number, since it is smaller than the sum of its proper divisors (38258727378).

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

21225833310 is a wasteful number, since it uses less digits than its factorization.

21225833310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20299 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 21225833310 in words is "twenty-one billion, two hundred twenty-five million, eight hundred thirty-three thousand, three hundred ten".