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13214220 = 22351131949
BaseRepresentation
bin110010011010…
…001000001100
3220212100111120
4302122020030
511340323340
61151120540
7220214265
oct62321014
926770446
1013214220
117506048
124513150
132978886
141a7d96c
1512604d0
hexc9a20c

13214220 has 48 divisors (see below), whose sum is σ = 37346400. Its totient is φ = 3490816.

The previous prime is 13214207. The next prime is 13214221. The reversal of 13214220 is 2241231.

It is a super-2 number, since 2×132142202 = 349231220416800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13214220.

It is not an unprimeable number, because it can be changed into a prime (13214221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5806 + ... + 7754.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 213214220 is an apocalyptic number.

13214220 is a gapful number since it is divisible by the number (10) 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 13214220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673200).

13214220 is an abundant number, since it is smaller than the sum of its proper divisors (24132180).

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

13214220 is a wasteful number, since it uses less digits than its factorization.

13214220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13214220 is about 3635.1368612475. The cubic root of 13214220 is about 236.4179847232.

Adding to 13214220 its reverse (2241231), we get a palindrome (15455451).

The spelling of 13214220 in words is "thirteen million, two hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 678 1130 1356 1695 1949 2260 3390 3898 5847 6780 7796 9745 11694 19490 23388 29235 38980 58470 116940 220237 440474 660711 880948 1101185 1321422 2202370 2642844 3303555 4404740 6607110 13214220