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14227152 = 2434361113
BaseRepresentation
bin110110010001…
…011011010000
3222202210222120
4312101123100
512120232102
61224534240
7231633402
oct66213320
928683876
1014227152
118038085
124921380
132c41944
141c64b72
1513b06bc
hexd916d0

14227152 has 80 divisors (see below), whose sum is σ = 38563008. Its totient is φ = 4515840.

The previous prime is 14227127. The next prime is 14227153. The reversal of 14227152 is 25172241.

It is a super-2 number, since 2×142271522 = 404823708062208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14227153) by changing a digit.

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, 125848 + ... + 125960.

Almost surely, 214227152 is an apocalyptic number.

14227152 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 14227152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19281504).

14227152 is an abundant number, since it is smaller than the sum of its proper divisors (24335856).

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

14227152 is a wasteful number, since it uses less digits than its factorization.

14227152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 14227152 is about 3771.8897120674. The cubic root of 14227152 is about 242.3107362294.

Adding to 14227152 its reverse (25172241), we get a palindrome (39399393).

The spelling of 14227152 in words is "fourteen million, two hundred twenty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 61 86 113 122 129 172 183 226 244 258 339 344 366 452 488 516 678 688 732 904 976 1032 1356 1464 1808 2064 2623 2712 2928 4859 5246 5424 6893 7869 9718 10492 13786 14577 15738 19436 20679 20984 27572 29154 31476 38872 41358 41968 55144 58308 62952 77744 82716 110288 116616 125904 165432 233232 296399 330864 592798 889197 1185596 1778394 2371192 3556788 4742384 7113576 14227152