226134720 has 224 divisors, whose sum is σ = 911961600. Its totient is φ = 51674112.

The previous prime is 226134709. The next prime is 226134737. The reversal of 226134720 is 27431622.

226134720 is a `hidden beast` number, since 2 + 2 + 613 + 47 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×226134720² = 102273823178956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 58611 + ... + 62349.

Almost surely, 2^226134720 is an apocalyptic number.

226134720 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 226134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455980800).

226134720 is an abundant number, since it is smaller than the sum of its proper divisors (685826880).

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

226134720 is a wasteful number, since it uses less digits than its factorization.

226134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3756 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 226134720 is about 15037.7764313744. The cubic root of 226134720 is about 609.2409442392.

The spelling of 226134720 in words is "two hundred twenty-six million, one hundred thirty-four thousand, seven hundred twenty".