90226847232 has 240 divisors, whose sum is σ = 267495022080. Its totient is φ = 29265739776.

The previous prime is 90226847231. The next prime is 90226847233. The reversal of 90226847232 is 23274862209.

90226847232 is a `hidden beast` number, since 90 + 2 + 2 + 68 + 472 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (90226847231) and next prime (90226847233).

It is a super-2 number, since 2×90226847232² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90226847231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31014994 + ... + 31017902.

It is an arithmetic number, because the mean of its divisors is an integer number (1114562592).

Almost surely, 2^90226847232 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 90226847232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133747511040).

90226847232 is an abundant number, since it is smaller than the sum of its proper divisors (177268174848).

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

90226847232 is a wasteful number, since it uses less digits than its factorization.

90226847232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 90226847232 in words is "ninety billion, two hundred twenty-six million, eight hundred forty-seven thousand, two hundred thirty-two".