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228549360 = 2435131731139
BaseRepresentation
bin11011001111101…
…10001011110000
3120221001111210010
431213312023300
5432002034420
634402334520
75443431444
oct1547661360
9527044703
10228549360
11108012576
126465a440
1338471c10
14224d4824
15150e84e0
hexd9f62f0

228549360 has 320 divisors, whose sum is σ = 839946240. Its totient is φ = 50872320.

The previous prime is 228549341. The next prime is 228549361. The reversal of 228549360 is 63945822.

It is a happy number.

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228549361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1644171 + ... + 1644309.

It is an arithmetic number, because the mean of its divisors is an integer number (2624832).

Almost surely, 2228549360 is an apocalyptic number.

228549360 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 228549360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

228549360 is an abundant number, since it is smaller than the sum of its proper divisors (611396880).

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

228549360 is a wasteful number, since it uses less digits than its factorization.

228549360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 228549360 is about 15117.8490533541. The cubic root of 228549360 is about 611.4017392532.

The spelling of 228549360 in words is "two hundred twenty-eight million, five hundred forty-nine thousand, three hundred sixty".