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12223140 = 22351371487
BaseRepresentation
bin101110101000…
…001010100100
3211222222222220
4232220022210
511112120030
61113552340
7205615656
oct56501244
924888886
1012223140
116999476
1241156b0
1326bc737
1418a26d6
151116a10
hexba82a4

12223140 has 48 divisors (see below), whose sum is σ = 34497792. Its totient is φ = 3233536.

The previous prime is 12223139. The next prime is 12223199. The reversal of 12223140 is 4132221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7477 + ... + 8963.

It is an arithmetic number, because the mean of its divisors is an integer number (718704).

Almost surely, 212223140 is an apocalyptic number.

12223140 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 12223140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896).

12223140 is an abundant number, since it is smaller than the sum of its proper divisors (22274652).

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

12223140 is a wasteful number, since it uses less digits than its factorization.

12223140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1634 counting only the distinct ones).

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

The square root of 12223140 is about 3496.1607514529. The cubic root of 12223140 is about 230.3532065223.

Adding to 12223140 its reverse (4132221), we get a palindrome (16355361).

The spelling of 12223140 in words is "twelve million, two hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1487 1644 2055 2740 2974 4110 4461 5948 7435 8220 8922 14870 17844 22305 29740 44610 89220 203719 407438 611157 814876 1018595 1222314 2037190 2444628 3055785 4074380 6111570 12223140