226573632 has 224 divisors, whose sum is σ = 718515200. Its totient is φ = 69797376.

The previous prime is 226573601. The next prime is 226573657. The reversal of 226573632 is 236375622.

It is a happy number.

226573632 is a `hidden beast` number, since 2 + 26 + 573 + 63 + 2 = 666.

It is a super-2 number, since 2×226573632² = 102671221435342848, which contains 22 as substring.

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

Its product of digits (90720) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2199693 + ... + 2199795.

Almost surely, 2^226573632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226573632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359257600).

226573632 is an abundant number, since it is smaller than the sum of its proper divisors (491941568).

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

226573632 is a wasteful number, since it uses less digits than its factorization.

226573632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 226573632 is about 15052.3630038609. The cubic root of 226573632 is about 609.6348544768.

The spelling of 226573632 in words is "two hundred twenty-six million, five hundred seventy-three thousand, six hundred thirty-two".