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14252224 = 267291097
BaseRepresentation
bin110110010111…
…100011000000
3222211002101011
4312113203000
512122032344
61225250304
7232066450
oct66274300
928732334
1014252224
1180549a8
124933994
132c5018c
141c6dd60
1513b7d34
hexd978c0

14252224 has 56 divisors (see below), whose sum is σ = 33467040. Its totient is φ = 5892096.

The previous prime is 14252209. The next prime is 14252243. The reversal of 14252224 is 42225241.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 14252195 and 14252204.

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 7 ways as a sum of consecutive naturals, for example, 12444 + ... + 13540.

Almost surely, 214252224 is an apocalyptic number.

14252224 is a gapful number since it is divisible by the number (14) 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 14252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733520).

14252224 is an abundant number, since it is smaller than the sum of its proper divisors (19214816).

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

14252224 is a wasteful number, since it uses less digits than its factorization.

14252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1135 counting only the distinct ones).

The product of its digits is 1280, while the sum is 22.

The square root of 14252224 is about 3775.2117821389. The cubic root of 14252224 is about 242.4529912067.

Adding to 14252224 its reverse (42225241), we get a palindrome (56477465).

The spelling of 14252224 in words is "fourteen million, two hundred fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 203 224 232 406 448 464 812 928 1097 1624 1856 2194 3248 4388 6496 7679 8776 12992 15358 17552 30716 31813 35104 61432 63626 70208 122864 127252 222691 245728 254504 445382 491456 509008 890764 1018016 1781528 2036032 3563056 7126112 14252224