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228144168 = 23337150889
BaseRepresentation
bin11011001100100…
…11010000101000
3120220021220222000
431212103100220
5431401103133
634345531000
75440123230
oct1546232050
9526256860
10228144168
111078660aa
12644a3a60
133835c665
142242acc0
1515068413
hexd993428

228144168 has 64 divisors (see below), whose sum is σ = 724272000. Its totient is φ = 65183616.

The previous prime is 228144151. The next prime is 228144173. The reversal of 228144168 is 861441822.

228144168 is a `hidden beast` number, since 228 + 14 + 416 + 8 = 666.

It is a super-2 number, since 2×2281441682 = 104099522784824448, which contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73933 + ... + 76956.

It is an arithmetic number, because the mean of its divisors is an integer number (11316750).

Almost surely, 2228144168 is an apocalyptic number.

228144168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

228144168 is an abundant number, since it is smaller than the sum of its proper divisors (496127832).

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

228144168 is a wasteful number, since it uses less digits than its factorization.

228144168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150911 (or 150901 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 228144168 is about 15104.4419956515. The cubic root of 228144168 is about 611.0402102893.

The spelling of 228144168 in words is "two hundred twenty-eight million, one hundred forty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 150889 301778 452667 603556 905334 1056223 1207112 1358001 1810668 2112446 2716002 3168669 3621336 4074003 4224892 5432004 6337338 8148006 8449784 9506007 10864008 12674676 16296012 19012014 25349352 28518021 32592024 38024028 57036042 76048056 114072084 228144168