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12213140 = 2251722113
BaseRepresentation
bin101110100101…
…101110010100
3211222111021112
4232211232110
511111310030
61113434152
7205544552
oct56455624
924874245
1012213140
116991a05
12410b958
1326b8014
14189cbd2
151113a95
hexba5b94

12213140 has 36 divisors (see below), whose sum is σ = 27257916. Its totient is φ = 4595712.

The previous prime is 12213137. The next prime is 12213167. The reversal of 12213140 is 4131221.

It can be written as a sum of positive squares in 6 ways, for example, as 283024 + 11930116 = 532^2 + 3454^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4724 + ... + 6836.

Almost surely, 212213140 is an apocalyptic number.

12213140 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 12213140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13628958).

12213140 is an abundant number, since it is smaller than the sum of its proper divisors (15044776).

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

12213140 is a wasteful number, since it uses less digits than its factorization.

12213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 12213140 is about 3494.7303186369. The cubic root of 12213140 is about 230.2903704987.

Adding to 12213140 its reverse (4131221), we get a palindrome (16344361).

The spelling of 12213140 in words is "twelve million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2113 2890 4226 5780 8452 10565 21130 35921 42260 71842 143684 179605 359210 610657 718420 1221314 2442628 3053285 6106570 12213140