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14836224 = 29313743
BaseRepresentation
bin111000100110…
…001000000000
31000220202110210
4320212020000
512244224344
61245554120
7240051204
oct70461000
930822423
1014836224
118413747
124b75940
1330c5c40
141d82b04
151480db9
hexe26200

14836224 has 80 divisors (see below), whose sum is σ = 42622272. Its totient is φ = 4558848.

The previous prime is 14836187. The next prime is 14836243. The reversal of 14836224 is 42263841.

It is a super-2 number, since 2×148362242 = 440227085156352, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 14836191 and 14836200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19597 + ... + 20339.

Almost surely, 214836224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311136).

14836224 is an abundant number, since it is smaller than the sum of its proper divisors (27786048).

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

14836224 is an equidigital number, since it uses as much as digits as its factorization.

14836224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 761 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 14836224 is about 3851.7819252912. The cubic root of 14836224 is about 245.7203511341.

The spelling of 14836224 in words is "fourteen million, eight hundred thirty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 743 768 832 1248 1486 1536 1664 2229 2496 2972 3328 4458 4992 5944 6656 8916 9659 9984 11888 17832 19318 19968 23776 28977 35664 38636 47552 57954 71328 77272 95104 115908 142656 154544 190208 231816 285312 309088 380416 463632 570624 618176 927264 1141248 1236352 1854528 2472704 3709056 4945408 7418112 14836224