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18229160 = 23537109113
BaseRepresentation
bin100010110001…
…0011110101000
31021022010201002
41011202132220
514131313120
61450414132
7310642145
oct105423650
937263632
1018229160
11a320924
126131348
133a133b1
1425c73cc
151901375
hex11627a8

18229160 has 64 divisors (see below), whose sum is σ = 42886800. Its totient is φ = 6967296.

The previous prime is 18229157. The next prime is 18229177. The reversal of 18229160 is 6192281.

It can be written as a sum of positive squares in 8 ways, for example, as 7873636 + 10355524 = 2806^2 + 3218^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 161264 + ... + 161376.

Almost surely, 218229160 is an apocalyptic number.

18229160 is a gapful number since it is divisible by the number (10) 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 18229160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21443400).

18229160 is an abundant number, since it is smaller than the sum of its proper divisors (24657640).

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

18229160 is a wasteful number, since it uses less digits than its factorization.

18229160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 18229160 is about 4269.5620384297. The cubic root of 18229160 is about 263.1816178192.

The spelling of 18229160 in words is "eighteen million, two hundred twenty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 74 109 113 148 185 218 226 296 370 436 452 545 565 740 872 904 1090 1130 1480 2180 2260 4033 4181 4360 4520 8066 8362 12317 16132 16724 20165 20905 24634 32264 33448 40330 41810 49268 61585 80660 83620 98536 123170 161320 167240 246340 455729 492680 911458 1822916 2278645 3645832 4557290 9114580 18229160