228457152 has 448 divisors, whose sum is σ = 895380480. Its totient is φ = 55296000.

The previous prime is 228457123. The next prime is 228457181. The reversal of 228457152 is 251754822.

It is a happy number.

228457152 is a `hidden beast` number, since 2 + 2 + 84 + 571 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (228457123) and next prime (228457181).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×228457152² = 104385340599902208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261902 + ... + 2262002.

Almost surely, 2^228457152 is an apocalyptic number.

228457152 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 228457152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447690240).

228457152 is an abundant number, since it is smaller than the sum of its proper divisors (666923328).

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

228457152 is a wasteful number, since it uses less digits than its factorization.

228457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 228457152 is about 15114.7991055125. The cubic root of 228457152 is about 611.3195050625.

The spelling of 228457152 in words is "two hundred twenty-eight million, four hundred fifty-seven thousand, one hundred fifty-two".