Search a number
-
+
228142464 = 2731154011
BaseRepresentation
bin11011001100100…
…10110110000000
3120220021211121220
431212102312000
5431401024324
634345515040
75440115244
oct1546226600
9526254556
10228142464
111078648a0
12644a2a80
133835b954
142242a424
1515067b79
hexd992d80

228142464 has 64 divisors (see below), whose sum is σ = 661106880. Its totient is φ = 69132800.

The previous prime is 228142459. The next prime is 228142487. The reversal of 228142464 is 464241822.

It is a tau number, because it is divible by the number of its divisors (64).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22782 + ... + 31229.

It is an arithmetic number, because the mean of its divisors is an integer number (10329795).

Almost surely, 2228142464 is an apocalyptic number.

228142464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228142464 is an abundant number, since it is smaller than the sum of its proper divisors (432964416).

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

228142464 is a wasteful number, since it uses less digits than its factorization.

228142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54039 (or 54027 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 228142464 is about 15104.3855882985. The cubic root of 228142464 is about 611.0386890069.

The spelling of 228142464 in words is "two hundred twenty-eight million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 54011 108022 162033 216044 324066 432088 594121 648132 864176 1188242 1296264 1728352 1782363 2376484 2592528 3456704 3564726 4752968 5185056 6913408 7129452 9505936 10370112 14258904 19011872 20740224 28517808 38023744 57035616 76047488 114071232 228142464