226144406600 has 96 divisors (see below), whose sum is σ = 603068335680. Its totient is φ = 77255182080.

The previous prime is 226144406599. The next prime is 226144406651. The reversal of 226144406600 is 6604441622.

It is a super-2 number, since 2×226144406600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96227 + ... + 679373.

It is an arithmetic number, because the mean of its divisors is an integer number (6281961830).

Almost surely, 2^226144406600 is an apocalyptic number.

226144406600 is a gapful number since it is divisible by the number (20) 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 226144406600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301534167840).

226144406600 is an abundant number, since it is smaller than the sum of its proper divisors (376923929080).

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

226144406600 is a wasteful number, since it uses less digits than its factorization.

226144406600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583447 (or 583438 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 226144406600 in words is "two hundred twenty-six billion, one hundred forty-four million, four hundred six thousand, six hundred".