226553220 has 384 divisors, whose sum is σ = 827366400. Its totient is φ = 51093504.

The previous prime is 226553219. The next prime is 226553267. The reversal of 226553220 is 22355622.

226553220 is a `hidden beast` number, since 2 + 2 + 655 + 3 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×226553220² = 102652722984736800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6123042 + ... + 6123078.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^226553220 is an apocalyptic number.

226553220 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 226553220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413683200).

226553220 is an abundant number, since it is smaller than the sum of its proper divisors (600813180).

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

226553220 is a wasteful number, since it uses less digits than its factorization.

226553220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 226553220 is about 15051.6849555125. The cubic root of 226553220 is about 609.6165466090.

The spelling of 226553220 in words is "two hundred twenty-six million, five hundred fifty-three thousand, two hundred twenty".