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12225492 = 223497389
BaseRepresentation
bin101110101000…
…101111010100
3212000010020000
4232220233110
511112203432
61114011300
7205625556
oct56505724
925003200
1012225492
1169a0214
124116b30
1326c0826
1418a34d6
15111757c
hexba8bd4

12225492 has 60 divisors (see below), whose sum is σ = 32372340. Its totient is φ = 4022784.

The previous prime is 12225491. The next prime is 12225527. The reversal of 12225492 is 29452221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4137156 + 8088336 = 2034^2 + 2844^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12225491) 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 19 ways as a sum of consecutive naturals, for example, 31234 + ... + 31622.

It is an arithmetic number, because the mean of its divisors is an integer number (539539).

Almost surely, 212225492 is an apocalyptic number.

12225492 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 12225492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186170).

12225492 is an abundant number, since it is smaller than the sum of its proper divisors (20146848).

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

12225492 is a wasteful number, since it uses less digits than its factorization.

12225492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 12225492 is about 3496.4971042459. The cubic root of 12225492 is about 230.3679805764.

The spelling of 12225492 in words is "twelve million, two hundred twenty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 389 582 778 873 1164 1167 1556 1746 2334 2619 3492 3501 4668 5238 7002 7857 10476 10503 14004 15714 21006 31428 31509 37733 42012 63018 75466 113199 126036 150932 226398 339597 452796 679194 1018791 1358388 2037582 3056373 4075164 6112746 12225492