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228659040 = 25325158791
BaseRepresentation
bin11011010000100…
…00111101100000
3120221021002020100
431220100331200
5432014042130
634404542400
75444366301
oct1550207540
9527232210
10228659040
11108087a15
12646b1a00
13384acb0c
14225227a8
151511ac60
hexda10f60

228659040 has 72 divisors (see below), whose sum is σ = 780303888. Its totient is φ = 60975360.

The previous prime is 228659033. The next prime is 228659047. The reversal of 228659040 is 40956822.

It is a happy number.

228659040 is a `hidden beast` number, since 2 + 28 + 6 + 590 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (228659033) and next prime (228659047).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 228658986 and 228659004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228659047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77956 + ... + 80835.

It is an arithmetic number, because the mean of its divisors is an integer number (10837554).

Almost surely, 2228659040 is an apocalyptic number.

228659040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228659040 is an abundant number, since it is smaller than the sum of its proper divisors (551644848).

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

228659040 is a wasteful number, since it uses less digits than its factorization.

228659040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158812 (or 158801 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 228659040 is about 15121.4761184218. The cubic root of 228659040 is about 611.4995267633.

The spelling of 228659040 in words is "two hundred twenty-eight million, six hundred fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 158791 317582 476373 635164 793955 952746 1270328 1429119 1587910 1905492 2381865 2540656 2858238 3175820 3810984 4763730 5081312 5716476 6351640 7145595 7621968 9527460 11432952 12703280 14291190 15243936 19054920 22865904 25406560 28582380 38109840 45731808 57164760 76219680 114329520 228659040