228292152 has 96 divisors (see below), whose sum is σ = 633292800. Its totient is φ = 68523840.

The previous prime is 228292121. The next prime is 228292189. The reversal of 228292152 is 251292822.

It is a super-2 number, since 2×228292152² = 104234613329582208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 368499 + ... + 369117.

It is an arithmetic number, because the mean of its divisors is an integer number (6596800).

Almost surely, 2^228292152 is an apocalyptic number.

228292152 is a gapful number since it is divisible by the number (22) 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 228292152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316646400).

228292152 is an abundant number, since it is smaller than the sum of its proper divisors (405000648).

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

228292152 is a wasteful number, since it uses less digits than its factorization.

228292152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 762 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 228292152 is about 15109.3398929272. The cubic root of 228292152 is about 611.1722972811.

The spelling of 228292152 in words is "two hundred twenty-eight million, two hundred ninety-two thousand, one hundred fifty-two".