228102600 has 384 divisors, whose sum is σ = 867801600. Its totient is φ = 48844800.

The previous prime is 228102587. The next prime is 228102613. The reversal of 228102600 is 6201822.

It is an interprime number because it is at equal distance from previous prime (228102587) and next prime (228102613).

It is a super-2 number, since 2×228102600² = 104061592253520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2131747 + ... + 2131853.

It is an arithmetic number, because the mean of its divisors is an integer number (2259900).

Almost surely, 2^228102600 is an apocalyptic number.

228102600 is a gapful number since it is divisible by the number (20) 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 228102600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433900800).

228102600 is an abundant number, since it is smaller than the sum of its proper divisors (639699000).

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

228102600 is a wasteful number, since it uses less digits than its factorization.

228102600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 228102600 is about 15103.0659139130. The cubic root of 228102600 is about 611.0030974081.

The spelling of 228102600 in words is "two hundred twenty-eight million, one hundred two thousand, six hundred".