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12226440 = 2335139733
BaseRepresentation
bin101110101000…
…111110001000
3212000011112010
4232220332020
511112221230
61114015520
7205631412
oct56507610
925004463
1012226440
1169a09a6
1241175a0
1326c10a5
1418a39b2
1511179b0
hexba8f88

12226440 has 64 divisors (see below), whose sum is σ = 36993600. Its totient is φ = 3232512.

The previous prime is 12226433. The next prime is 12226453. The reversal of 12226440 is 4462221.

12226440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16314 + ... + 17046.

It is an arithmetic number, because the mean of its divisors is an integer number (578025).

Almost surely, 212226440 is an apocalyptic number.

12226440 is a gapful number since it is divisible by the number (10) 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 12226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496800).

12226440 is an abundant number, since it is smaller than the sum of its proper divisors (24767160).

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

12226440 is a wasteful number, since it uses less digits than its factorization.

12226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 12226440 is about 3496.6326658658. The cubic root of 12226440 is about 230.3739348889.

Adding to 12226440 its reverse (4462221), we get a palindrome (16688661).

It can be divided in two parts, 122 and 26440, that added together give a palindrome (26562).

The spelling of 12226440 in words is "twelve million, two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 733 834 1112 1390 1466 1668 2085 2199 2780 2932 3336 3665 4170 4398 5560 5864 7330 8340 8796 10995 14660 16680 17592 21990 29320 43980 87960 101887 203774 305661 407548 509435 611322 815096 1018870 1222644 1528305 2037740 2445288 3056610 4075480 6113220 12226440