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228155616 = 2535133761
BaseRepresentation
bin11011001100101…
…10000011100000
3120220022111200000
431212112003200
5431401434431
634350100000
75440201503
oct1546260340
9526274600
10228155616
11107873767
12644aa600
1338364930
142243113a
151506b9e6
hexd9960e0

228155616 has 288 divisors, whose sum is σ = 756389088. Its totient is φ = 67184640.

The previous prime is 228155597. The next prime is 228155621. The reversal of 228155616 is 616551822.

228155616 is a `hidden beast` number, since 2 + 28 + 15 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2281556162 = 104109970224678912, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3740226 + ... + 3740286.

It is an arithmetic number, because the mean of its divisors is an integer number (2626351).

Almost surely, 2228155616 is an apocalyptic number.

228155616 is a gapful number since it is divisible by the number (26) 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 228155616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378194544).

228155616 is an abundant number, since it is smaller than the sum of its proper divisors (528233472).

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

228155616 is a wasteful number, since it uses less digits than its factorization.

228155616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 228155616 is about 15104.8209522655. The cubic root of 228155616 is about 611.0504305393.

The spelling of 228155616 in words is "two hundred twenty-eight million, one hundred fifty-five thousand, six hundred sixteen".