226190664 has 256 divisors, whose sum is σ = 760320000. Its totient is φ = 62233920.

The previous prime is 226190651. The next prime is 226190677. The reversal of 226190664 is 466091622.

It is an interprime number because it is at equal distance from previous prime (226190651) and next prime (226190677).

It is a super-4 number, since 4×226190664⁴ (a number of 35 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3185749 + ... + 3185819.

It is an arithmetic number, because the mean of its divisors is an integer number (2970000).

Almost surely, 2^226190664 is an apocalyptic number.

226190664 is a gapful number since it is divisible by the number (24) 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 226190664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380160000).

226190664 is an abundant number, since it is smaller than the sum of its proper divisors (534129336).

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

226190664 is a wasteful number, since it uses less digits than its factorization.

226190664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 226190664 is about 15039.6364317759. The cubic root of 226190664 is about 609.2911806132.

The spelling of 226190664 in words is "two hundred twenty-six million, one hundred ninety thousand, six hundred sixty-four".