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12225132 = 22321961293
BaseRepresentation
bin101110101000…
…101001101100
3212000002201200
4232220221230
511112201012
61114005500
7205624533
oct56505154
925002650
1012225132
11699aa17
124116890
1326c060a
1418a331a
1511173dc
hexba8a6c

12225132 has 72 divisors (see below), whose sum is σ = 33174960. Its totient is φ = 3784320.

The previous prime is 12225107. The next prime is 12225149. The reversal of 12225132 is 23152221.

12225132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41578 + ... + 41870.

Almost surely, 212225132 is an apocalyptic number.

12225132 is a gapful number since it is divisible by the number (12) 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 12225132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16587480).

12225132 is an abundant number, since it is smaller than the sum of its proper divisors (20949828).

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

12225132 is a wasteful number, since it uses less digits than its factorization.

12225132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 378 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 12225132 is about 3496.4456237728. The cubic root of 12225132 is about 230.3657193644.

Adding to 12225132 its reverse (23152221), we get a palindrome (35377353).

The spelling of 12225132 in words is "twelve million, two hundred twenty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 61 76 114 122 171 183 228 244 293 342 366 549 586 684 732 879 1098 1159 1172 1758 2196 2318 2637 3477 3516 4636 5274 5567 6954 10431 10548 11134 13908 16701 17873 20862 22268 33402 35746 41724 50103 53619 66804 71492 100206 107238 160857 200412 214476 321714 339587 643428 679174 1018761 1358348 2037522 3056283 4075044 6112566 12225132