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228667360 = 2551579103
BaseRepresentation
bin11011010000100…
…10111111100000
3120221021111122111
431220102333200
5432014323420
634405045104
75444432455
oct1550227740
9527244574
10228667360
11108093199
12646b6794
13384b383c
142252582c
151511d45a
hexda12fe0

228667360 has 48 divisors (see below), whose sum is σ = 543727296. Its totient is φ = 90874368.

The previous prime is 228667343. The next prime is 228667393. The reversal of 228667360 is 63766822.

228667360 is digitally balanced in base 2, because in such base 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 (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20569 + ... + 29671.

It is an arithmetic number, because the mean of its divisors is an integer number (11327652).

Almost surely, 2228667360 is an apocalyptic number.

228667360 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 228667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271863648).

228667360 is an abundant number, since it is smaller than the sum of its proper divisors (315059936).

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

228667360 is a wasteful number, since it uses less digits than its factorization.

228667360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9275 (or 9267 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 228667360 is about 15121.7512213368. The cubic root of 228667360 is about 611.5069433581.

The spelling of 228667360 in words is "two hundred twenty-eight million, six hundred sixty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 9103 12560 18206 25120 36412 45515 72824 91030 145648 182060 291296 364120 728240 1429171 1456480 2858342 5716684 7145855 11433368 14291710 22866736 28583420 45733472 57166840 114333680 228667360