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12214152 = 233561103
BaseRepresentation
bin101110100101…
…111110001000
3211222112200000
4232211332020
511111323102
61113443000
7205550526
oct56457610
924875600
1012214152
116992745
124110460
1326b8612
14189d316
15111401c
hexba5f88

12214152 has 96 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 3965760.

The previous prime is 12214099. The next prime is 12214159. The reversal of 12214152 is 25141221.

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

It is not an unprimeable number, because it can be changed into a prime (12214159) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 118533 + ... + 118635.

It is an arithmetic number, because the mean of its divisors is an integer number (366730).

Almost surely, 212214152 is an apocalyptic number.

12214152 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 12214152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

12214152 is an abundant number, since it is smaller than the sum of its proper divisors (22991928).

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

12214152 is a wasteful number, since it uses less digits than its factorization.

12214152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 12214152 is about 3494.8751050646. The cubic root of 12214152 is about 230.2967310639.

Adding to 12214152 its reverse (25141221), we get a palindrome (37355373).

The spelling of 12214152 in words is "twelve million, two hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 103 108 122 162 183 206 216 243 244 309 324 366 412 486 488 549 618 648 732 824 927 972 1098 1236 1464 1647 1854 1944 2196 2472 2781 3294 3708 4392 4941 5562 6283 6588 7416 8343 9882 11124 12566 13176 14823 16686 18849 19764 22248 25029 25132 29646 33372 37698 39528 50058 50264 56547 59292 66744 75396 100116 113094 118584 150792 169641 200232 226188 339282 452376 508923 678564 1017846 1357128 1526769 2035692 3053538 4071384 6107076 12214152