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228153376 = 25112328181
BaseRepresentation
bin11011001100101…
…01100000100000
3120220022101121001
431212111200200
5431401402001
634350041344
75440162123
oct1546254040
9526271531
10228153376
11107872010
12644a9254
13383638c9
14224303ba
151506b001
hexd995820

228153376 has 48 divisors (see below), whose sum is σ = 511334208. Its totient is φ = 99193600.

The previous prime is 228153347. The next prime is 228153377. The reversal of 228153376 is 673351822.

228153376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2281533763 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (228153377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5995 + ... + 22186.

It is an arithmetic number, because the mean of its divisors is an integer number (10652796).

Almost surely, 2228153376 is an apocalyptic number.

It is an amenable number.

228153376 is an abundant number, since it is smaller than the sum of its proper divisors (283180832).

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

228153376 is a wasteful number, since it uses less digits than its factorization.

228153376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28225 (or 28217 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 228153376 is about 15104.7468035714. The cubic root of 228153376 is about 611.0484307968.

The spelling of 228153376 in words is "two hundred twenty-eight million, one hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 88 92 176 184 253 352 368 506 736 1012 2024 4048 8096 28181 56362 112724 225448 309991 450896 619982 648163 901792 1239964 1296326 2479928 2592652 4959856 5185304 7129793 9919712 10370608 14259586 20741216 28519172 57038344 114076688 228153376