Search a number
-
+
228202560 = 26325175979
BaseRepresentation
bin11011001101000…
…01100001000000
3120220101220001200
431212201201000
5431404440220
634351101200
75440455405
oct1546414100
9526356050
10228202560
111078a5a63
1264511800
1338380101
14224442ac
151507a890
hexd9a1840

228202560 has 336 divisors, whose sum is σ = 855878400. Its totient is φ = 55590912.

The previous prime is 228202517. The next prime is 228202567. The reversal of 228202560 is 65202822.

228202560 is a `hidden beast` number, since 22 + 82 + 0 + 2 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (228202567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2888601 + ... + 2888679.

Almost surely, 2228202560 is an apocalyptic number.

228202560 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 228202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

228202560 is an abundant number, since it is smaller than the sum of its proper divisors (627675840).

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

228202560 is a wasteful number, since it uses less digits than its factorization.

228202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 228202560 is about 15106.3748133032. The cubic root of 228202560 is about 611.0923364174.

The spelling of 228202560 in words is "two hundred twenty-eight million, two hundred two thousand, five hundred sixty".