226364160 has 288 divisors, whose sum is σ = 826495488. Its totient is φ = 52264960.

The previous prime is 226364153. The next prime is 226364189. The reversal of 226364160 is 61463622.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971404 + ... + 971636.

It is an arithmetic number, because the mean of its divisors is an integer number (2869776).

Almost surely, 2^226364160 is an apocalyptic number.

226364160 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 226364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413247744).

226364160 is an abundant number, since it is smaller than the sum of its proper divisors (600131328).

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

226364160 is a wasteful number, since it uses less digits than its factorization.

226364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 226364160 is about 15045.4032847245. The cubic root of 226364160 is about 609.4469232136.

It can be divided in two parts, 22636 and 4160, that added together give a triangular number (26796 = T₂₃₁).

The spelling of 226364160 in words is "two hundred twenty-six million, three hundred sixty-four thousand, one hundred sixty".