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228031200 = 2536521723
BaseRepresentation
bin11011001011101…
…11101011100000
3120220002012000000
431211313223200
5431333444300
634343300000
75436142665
oct1545675340
9526065000
10228031200
11107799241
126444a600
1338320107
14223dba6c
1515044c00
hexd977ae0

228031200 has 504 divisors, whose sum is σ = 922159728. Its totient is φ = 54743040.

The previous prime is 228031187. The next prime is 228031201. The reversal of 228031200 is 2130822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228031201) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9914389 + ... + 9914411.

It is an arithmetic number, because the mean of its divisors is an integer number (1829682).

Almost surely, 2228031200 is an apocalyptic number.

228031200 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 228031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461079864).

228031200 is an abundant number, since it is smaller than the sum of its proper divisors (694128528).

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

228031200 is a wasteful number, since it uses less digits than its factorization.

228031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 228031200 is about 15100.7019704383. The cubic root of 228031200 is about 610.9393392954.

The spelling of 228031200 in words is "two hundred twenty-eight million, thirty-one thousand, two hundred".