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228370560 = 2735112983
BaseRepresentation
bin11011001110010…
…10100010000000
3120220201102111220
431213022202000
5431430324220
634354435040
75442055245
oct1547124200
9526642456
10228370560
11107a00200
1264592a80
133840b712
14224895cc
15150b0540
hexd9ca880

228370560 has 192 divisors, whose sum is σ = 800936640. Its totient is φ = 55306240.

The previous prime is 228370559. The next prime is 228370567. The reversal of 228370560 is 65073822.

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

It is a super-2 number, since 2×2283705602 = 104306225349427200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (228370567) 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 23 ways as a sum of consecutive naturals, for example, 231829 + ... + 232811.

It is an arithmetic number, because the mean of its divisors is an integer number (4171545).

Almost surely, 2228370560 is an apocalyptic number.

228370560 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 228370560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400468320).

228370560 is an abundant number, since it is smaller than the sum of its proper divisors (572566080).

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

228370560 is a wasteful number, since it uses less digits than its factorization.

228370560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 228370560 is about 15111.9343566600. The cubic root of 228370560 is about 611.2422592602.

The spelling of 228370560 in words is "two hundred twenty-eight million, three hundred seventy thousand, five hundred sixty".