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228654360 = 2333511191013
BaseRepresentation
bin11011010000011…
…11110100011000
3120221020211211000
431220033310120
5432013414420
634404505000
75444346534
oct1550176430
9527224730
10228654360
11108084450
12646ab160
13384aa94c
1422520bc4
1515119690
hexda0fd18

228654360 has 256 divisors, whose sum is σ = 876096000. Its totient is φ = 52462080.

The previous prime is 228654331. The next prime is 228654367. The reversal of 228654360 is 63456822.

228654360 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228654367) 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, 225214 + ... + 226226.

It is an arithmetic number, because the mean of its divisors is an integer number (3422250).

Almost surely, 2228654360 is an apocalyptic number.

228654360 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 228654360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438048000).

228654360 is an abundant number, since it is smaller than the sum of its proper divisors (647441640).

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

228654360 is a wasteful number, since it uses less digits than its factorization.

228654360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 228654360 is about 15121.3213708326. The cubic root of 228654360 is about 611.4953548496.

It can be divided in two parts, 22865 and 4360, that added together give a square (27225 = 1652).

The spelling of 228654360 in words is "two hundred twenty-eight million, six hundred fifty-four thousand, three hundred sixty".