Search a number
-
+
228251664 = 243212592
BaseRepresentation
bin11011001101011…
…01100000010000
3120220111101102100
431212231200100
5431413023124
634352120400
75441051514
oct1546554020
9526441370
10228251664
11107929943
1264536100
1338399574
1422458144
151508a1c9
hexd9ad810

228251664 has 45 divisors (see below), whose sum is σ = 639295423. Its totient is φ = 76023456.

The previous prime is 228251659. The next prime is 228251677. The reversal of 228251664 is 466152822.

It is a happy number.

The square root of 228251664 is 15108.

It is a perfect power (a square), and thus also a powerful number.

228251664 is a `hidden beast` number, since 2 + 2 + 82 + 516 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 180667 + ... + 181925.

Almost surely, 2228251664 is an apocalyptic number.

228251664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

228251664 is the 15108-th square number.

It is an amenable number.

228251664 is an abundant number, since it is smaller than the sum of its proper divisors (411043759).

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

228251664 is an equidigital number, since it uses as much as digits as its factorization.

228251664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 1264 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The cubic root of 228251664 is about 611.1361643307.

Multiplying 228251664 by its sum of digits (36), we get a square (8217059904 = 906482).

228251664 divided by its sum of digits (36) gives a square (6340324 = 25182).

The spelling of 228251664 in words is "two hundred twenty-eight million, two hundred fifty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1259 2518 3777 5036 7554 10072 11331 15108 20144 22662 30216 45324 60432 90648 181296 1585081 3170162 4755243 6340324 9510486 12680648 14265729 19020972 25361296 28531458 38041944 57062916 76083888 114125832 228251664