Search a number
-
+
18229824 = 263231649
BaseRepresentation
bin100010110001…
…0101001000000
31021022011121200
41011202221000
514131323244
61450421200
7310644114
oct105425100
937264550
1018229824
11a321378
126131800
133a137a2
1425c7744
151901669
hex1162a40

18229824 has 42 divisors (see below), whose sum is σ = 52254150. Its totient is φ = 6076416.

The previous prime is 18229819. The next prime is 18229837. The reversal of 18229824 is 42892281.

It can be written as a sum of positive squares in only one way, i.e., 17640000 + 589824 = 4200^2 + 768^2 .

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 5 ways as a sum of consecutive naturals, for example, 15249 + ... + 16400.

Almost surely, 218229824 is an apocalyptic number.

It is an amenable number.

18229824 is an abundant number, since it is smaller than the sum of its proper divisors (34024326).

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

18229824 is a wasteful number, since it uses less digits than its factorization.

18229824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31667 (or 31654 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 18229824 is about 4269.6397974536. The cubic root of 18229824 is about 263.1848132576.

The spelling of 18229824 in words is "eighteen million, two hundred twenty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 31649 63298 94947 126596 189894 253192 284841 379788 506384 569682 759576 1012768 1139364 1519152 2025536 2278728 3038304 4557456 6076608 9114912 18229824