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228515700 = 2235271737173
BaseRepresentation
bin11011001111011…
…01111101110100
3120220222210121110
431213231331310
5432000000300
634401515020
75443231350
oct1547557564
9526883543
10228515700
11107a9a256
1264642a70
133845c7ba
14224c6460
15150dd550
hexd9edf74

228515700 has 288 divisors, whose sum is σ = 826447104. Its totient is φ = 47554560.

The previous prime is 228515687. The next prime is 228515711. The reversal of 228515700 is 7515822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1320814 + ... + 1320986.

It is an arithmetic number, because the mean of its divisors is an integer number (2869608).

Almost surely, 2228515700 is an apocalyptic number.

228515700 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 228515700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413223552).

228515700 is an abundant number, since it is smaller than the sum of its proper divisors (597931404).

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

228515700 is a wasteful number, since it uses less digits than its factorization.

228515700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 228515700 is about 15116.7357587543. The cubic root of 228515700 is about 611.3717226987.

The spelling of 228515700 in words is "two hundred twenty-eight million, five hundred fifteen thousand, seven hundred".