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12252264 = 2331997277
BaseRepresentation
bin101110101111…
…010001101000
3212001110221120
4232233101220
511114033024
61114335240
7206066613
oct56572150
925043846
1012252264
116a09342
12412a520
1326cca7b
1418ad17a
151120479
hexbaf468

12252264 has 64 divisors (see below), whose sum is σ = 32692800. Its totient is φ = 3815424.

The previous prime is 12252263. The next prime is 12252269. The reversal of 12252264 is 46225221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12252263) 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 15 ways as a sum of consecutive naturals, for example, 44094 + ... + 44370.

It is an arithmetic number, because the mean of its divisors is an integer number (510825).

Almost surely, 212252264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12252264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16346400).

12252264 is an abundant number, since it is smaller than the sum of its proper divisors (20440536).

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

12252264 is a wasteful number, since it uses less digits than its factorization.

12252264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 12252264 is about 3500.3234136291. The cubic root of 12252264 is about 230.5360151264.

Adding to 12252264 its reverse (46225221), we get a palindrome (58477485).

The spelling of 12252264 in words is "twelve million, two hundred fifty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 97 114 152 194 228 277 291 388 456 554 582 776 831 1108 1164 1662 1843 2216 2328 3324 3686 5263 5529 6648 7372 10526 11058 14744 15789 21052 22116 26869 31578 42104 44232 53738 63156 80607 107476 126312 161214 214952 322428 510511 644856 1021022 1531533 2042044 3063066 4084088 6126132 12252264