902225742 has 64 divisors (see below), whose sum is σ = 2023743744. Its totient is φ = 265789440.

The previous prime is 902225729. The next prime is 902225749. The reversal of 902225742 is 247522209.

It is a super-2 number, since 2×902225742² = 1628022579054901128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902225749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 728748 + ... + 729984.

It is an arithmetic number, because the mean of its divisors is an integer number (31620996).

Almost surely, 2^902225742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902225742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011871872).

902225742 is an abundant number, since it is smaller than the sum of its proper divisors (1121518002).

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

902225742 is a wasteful number, since it uses less digits than its factorization.

902225742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 902225742 is about 30037.0727934664. The cubic root of 902225742 is about 966.2846295076.

The spelling of 902225742 in words is "nine hundred two million, two hundred twenty-five thousand, seven hundred forty-two".