202228224 has 80 divisors (see below), whose sum is σ = 587774880. Its totient is φ = 61276160.

The previous prime is 202228207. The next prime is 202228241. The reversal of 202228224 is 422822202.

It is an interprime number because it is at equal distance from previous prime (202228207) and next prime (202228241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 202228194 and 202228203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10912 + ... + 22880.

It is an arithmetic number, because the mean of its divisors is an integer number (7347186).

Almost surely, 2^202228224 is an apocalyptic number.

202228224 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 202228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293887440).

202228224 is an abundant number, since it is smaller than the sum of its proper divisors (385546656).

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

202228224 is a wasteful number, since it uses less digits than its factorization.

202228224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12001 (or 11985 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 202228224 is about 14220.6970293302. The cubic root of 202228224 is about 586.9673206425.

The spelling of 202228224 in words is "two hundred two million, two hundred twenty-eight thousand, two hundred twenty-four".