45226188 has 216 divisors, whose sum is σ = 150189312. Its totient is φ = 11632896.

The previous prime is 45226169. The next prime is 45226189. The reversal of 45226188 is 88162254.

45226188 is a `hidden beast` number, since 452 + 26 + 188 = 666.

It is a super-2 number, since 2×45226188² = 4090816162022688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (45226189) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1966345 + ... + 1966367.

Almost surely, 2^45226188 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 45226188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75094656).

45226188 is an abundant number, since it is smaller than the sum of its proper divisors (104963124).

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

45226188 is a wasteful number, since it uses less digits than its factorization.

45226188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 45226188 is about 6725.0418586058. The cubic root of 45226188 is about 356.2842803578.

The spelling of 45226188 in words is "forty-five million, two hundred twenty-six thousand, one hundred eighty-eight".