892225152 has 256 divisors, whose sum is σ = 3242131200. Its totient is φ = 235229184.

The previous prime is 892225099. The next prime is 892225153. The reversal of 892225152 is 251522298.

It is a super-2 number, since 2×892225152² = 1592131443722846208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

892225152 is a Rhonda number in base 10.

Its product of digits (28800) is a multiple of the sum of its prime factors (2880).

It is not an unprimeable number, because it can be changed into a prime (892225153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313078 + ... + 315914.

It is an arithmetic number, because the mean of its divisors is an integer number (12664575).

Almost surely, 2^892225152 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 892225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621065600).

892225152 is an abundant number, since it is smaller than the sum of its proper divisors (2349906048).

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

892225152 is a wasteful number, since it uses less digits than its factorization.

892225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2862 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 892225152 is about 29870.1381315855. The cubic root of 892225152 is about 962.7011426928.

The spelling of 892225152 in words is "eight hundred ninety-two million, two hundred twenty-five thousand, one hundred fifty-two".