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228623472 = 24347112979
BaseRepresentation
bin11011010000010…
…00010001110000
3120221012021110000
431220020101300
5432011422342
634404110000
75444160510
oct1550102160
9527167400
10228623472
11108063220
1264695300
133849987c
1422513840
151511044c
hexda08470

228623472 has 400 divisors, whose sum is σ = 864230400. Its totient is φ = 56609280.

The previous prime is 228623401. The next prime is 228623477. The reversal of 228623472 is 274326822.

It is a happy number.

228623472 is a `hidden beast` number, since 2 + 28 + 623 + 4 + 7 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228623477) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2893929 + ... + 2894007.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2228623472 is an apocalyptic number.

228623472 is a gapful number since it is divisible by the number (22) 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 228623472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432115200).

228623472 is an abundant number, since it is smaller than the sum of its proper divisors (635606928).

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

228623472 is a wasteful number, since it uses less digits than its factorization.

228623472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 228623472 is about 15120.2999970239. The cubic root of 228623472 is about 611.4678187917.

The spelling of 228623472 in words is "two hundred twenty-eight million, six hundred twenty-three thousand, four hundred seventy-two".