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228442560 = 2635476183
BaseRepresentation
bin11011001110111…
…00000111000000
3120220212002021120
431213130013000
5431440130220
634400152240
75442505203
oct1547340700
9526762246
10228442560
11107a4a305
1264608680
1338435418
14224a793a
15150c6a40
hexd9dc1c0

228442560 has 224 divisors, whose sum is σ = 761951232. Its totient is φ = 57937920.

The previous prime is 228442553. The next prime is 228442633. The reversal of 228442560 is 65244822.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2752279 + ... + 2752361.

It is an arithmetic number, because the mean of its divisors is an integer number (3401568).

Almost surely, 2228442560 is an apocalyptic number.

228442560 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 228442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380975616).

228442560 is an abundant number, since it is smaller than the sum of its proper divisors (533508672).

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

228442560 is a wasteful number, since it uses less digits than its factorization.

228442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 228442560 is about 15114.3163920834. The cubic root of 228442560 is about 611.3064893992.

It can be divided in two parts, 2284 and 42560, that added together give a palindrome (44844).

The spelling of 228442560 in words is "two hundred twenty-eight million, four hundred forty-two thousand, five hundred sixty".