Search a number
-
+
13220224 = 27179577
BaseRepresentation
bin110010011011…
…100110000000
3220212122201221
4302123212000
511341021344
61151204424
7220240633
oct62334600
926778657
1013220224
11750a606
124516714
13297b524
141a81c1a
151262184
hexc9b980

13220224 has 32 divisors (see below), whose sum is σ = 26530200. Its totient is φ = 6561792.

The previous prime is 13220213. The next prime is 13220231. The reversal of 13220224 is 42202231.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×132202242 = 349548645220352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13220198 and 13220207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22624 + ... + 23200.

Almost surely, 213220224 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 13220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265100).

13220224 is an abundant number, since it is smaller than the sum of its proper divisors (13309976).

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

13220224 is an equidigital number, since it uses as much as digits as its factorization.

13220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13220224 is about 3635.9625960672. The cubic root of 13220224 is about 236.4537855159.

Adding to 13220224 its reverse (42202231), we get a palindrome (55422455).

The spelling of 13220224 in words is "thirteen million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 179 358 577 716 1154 1432 2308 2864 4616 5728 9232 11456 18464 22912 36928 73856 103283 206566 413132 826264 1652528 3305056 6610112 13220224