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12225444 = 223711101131
BaseRepresentation
bin101110101000…
…101110100100
3212000010011020
4232220232210
511112203234
61114011140
7205625460
oct56505644
925003136
1012225444
1169a0180
124116ab0
1326c07ba
1418a34a0
151117549
hexba8ba4

12225444 has 96 divisors (see below), whose sum is σ = 36191232. Its totient is φ = 3120000.

The previous prime is 12225427. The next prime is 12225461. The reversal of 12225444 is 44452221.

It is a happy number.

12225444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12225427) and next prime (12225461).

It is a super-2 number, since 2×122254442 = 298922961994272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93259 + ... + 93389.

It is an arithmetic number, because the mean of its divisors is an integer number (376992).

Almost surely, 212225444 is an apocalyptic number.

12225444 is a gapful number since it is divisible by the number (14) 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 12225444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095616).

12225444 is an abundant number, since it is smaller than the sum of its proper divisors (23965788).

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

12225444 is a wasteful number, since it uses less digits than its factorization.

12225444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 255 counting only the distinct ones).

The product of its digits is 2560, while the sum is 24.

The square root of 12225444 is about 3496.4902402266. The cubic root of 12225444 is about 230.3676790840.

Adding to 12225444 its reverse (44452221), we get a palindrome (56677665).

It can be divided in two parts, 1222 and 5444, that added together give a palindrome (6666).

The spelling of 12225444 in words is "twelve million, two hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 131 132 154 202 231 262 303 308 393 404 462 524 606 707 786 917 924 1111 1212 1414 1441 1572 1834 2121 2222 2751 2828 2882 3333 3668 4242 4323 4444 5502 5764 6666 7777 8484 8646 10087 11004 13231 13332 15554 17292 20174 23331 26462 30261 31108 39693 40348 46662 52924 60522 79386 92617 93324 121044 145541 158772 185234 277851 291082 370468 436623 555702 582164 873246 1018787 1111404 1746492 2037574 3056361 4075148 6112722 12225444