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228655800 = 233252127031
BaseRepresentation
bin11011010000100…
…00001010111000
3120221020220210100
431220100022320
5432013441200
634404515400
75444353662
oct1550201270
9527226710
10228655800
1110808553a
12646abb60
13384ab4b9
1422521532
1515119d00
hexda102b8

228655800 has 72 divisors (see below), whose sum is σ = 767908440. Its totient is φ = 60974400.

The previous prime is 228655781. The next prime is 228655829. The reversal of 228655800 is 8556822.

228655800 is a `hidden beast` number, since 22 + 86 + 558 + 0 + 0 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 61716 + ... + 65315.

It is an arithmetic number, because the mean of its divisors is an integer number (10665395).

Almost surely, 2228655800 is an apocalyptic number.

228655800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228655800 is an abundant number, since it is smaller than the sum of its proper divisors (539252640).

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

228655800 is a wasteful number, since it uses less digits than its factorization.

228655800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127053 (or 127041 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 228655800 is about 15121.3689856441. The cubic root of 228655800 is about 611.4966385214.

The spelling of 228655800 in words is "two hundred twenty-eight million, six hundred fifty-five thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 127031 254062 381093 508124 635155 762186 1016248 1143279 1270310 1524372 1905465 2286558 2540620 3048744 3175775 3810930 4573116 5081240 5716395 6351550 7621860 9146232 9527325 11432790 12703100 15243720 19054650 22865580 25406200 28581975 38109300 45731160 57163950 76218600 114327900 228655800