Search a number
-
+
228574080 = 2732575669
BaseRepresentation
bin11011001111111…
…00001110000000
3120221002202200200
431213330032000
5432003332310
634403045200
75443563510
oct1547741600
9527082620
10228574080
1110802a0a9
1264670800
1338480247
14224dd840
15151009c0
hexd9fc380

228574080 has 192 divisors, whose sum is σ = 902210400. Its totient is φ = 52236288.

The previous prime is 228574037. The next prime is 228574091. The reversal of 228574080 is 80475822.

It is a happy number.

228574080 is a `hidden beast` number, since 2 + 2 + 8 + 574 + 0 + 80 = 666.

228574080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2285740802 = 104492220095692800, 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 23 ways as a sum of consecutive naturals, for example, 37486 + ... + 43154.

Almost surely, 2228574080 is an apocalyptic number.

228574080 is a gapful number since it is divisible by the number (20) 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 228574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451105200).

228574080 is an abundant number, since it is smaller than the sum of its proper divisors (673636320).

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

228574080 is a wasteful number, since it uses less digits than its factorization.

228574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5701 (or 5686 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 228574080 is about 15118.6666078725. Note that the first 4 decimals coincide. The cubic root of 228574080 is about 611.4237816194.

The spelling of 228574080 in words is "two hundred twenty-eight million, five hundred seventy-four thousand, eighty".