226929600 has 420 divisors, whose sum is σ = 891777744. Its totient is φ = 56401920.

The previous prime is 226929587. The next prime is 226929601. The reversal of 226929600 is 6929622.

226929600 is a `hidden beast` number, since 2 + 26 + 9 + 29 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226929601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2203149 + ... + 2203251.

Almost surely, 2^226929600 is an apocalyptic number.

226929600 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 226929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445888872).

226929600 is an abundant number, since it is smaller than the sum of its proper divisors (664848144).

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

226929600 is a wasteful number, since it uses less digits than its factorization.

226929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 226929600 is about 15064.1826860935. The cubic root of 226929600 is about 609.9539515539.

It can be divided in two parts, 226929 and 600, that added together give a square (227529 = 477²).

The spelling of 226929600 in words is "two hundred twenty-six million, nine hundred twenty-nine thousand, six hundred".