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14218152 = 23313199229
BaseRepresentation
bin110110001111…
…001110101000
3222202100122020
4312033032220
512114440102
61224424440
7231565224
oct66171650
928670566
1014218152
118031343
124918120
132c3a810
141c61784
1513acbbc
hexd8f3a8

14218152 has 64 divisors (see below), whose sum is σ = 38640000. Its totient is φ = 4333824.

The previous prime is 14218147. The next prime is 14218153. The reversal of 14218152 is 25181241.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14218153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61974 + ... + 62202.

It is an arithmetic number, because the mean of its divisors is an integer number (603750).

Almost surely, 214218152 is an apocalyptic number.

14218152 is a gapful number since it is divisible by the number (12) 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 14218152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320000).

14218152 is an abundant number, since it is smaller than the sum of its proper divisors (24421848).

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

14218152 is a wasteful number, since it uses less digits than its factorization.

14218152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its digits is 640, while the sum is 24.

The square root of 14218152 is about 3770.6964873880. The cubic root of 14218152 is about 242.2596307413.

Adding to 14218152 its reverse (25181241), we get a palindrome (39399393).

The spelling of 14218152 in words is "fourteen million, two hundred eighteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 199 229 312 398 458 597 687 796 916 1194 1374 1592 1832 2388 2587 2748 2977 4776 5174 5496 5954 7761 8931 10348 11908 15522 17862 20696 23816 31044 35724 45571 62088 71448 91142 136713 182284 273426 364568 546852 592423 1093704 1184846 1777269 2369692 3554538 4739384 7109076 14218152