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12226620 = 2235743677
BaseRepresentation
bin101110101001…
…000000111100
3212000011202210
4232221000330
511112222440
61114020420
7205632060
oct56510074
925004683
1012226620
1169a104a
124117710
1326c11b3
1418a3aa0
151117a80
hexba903c

12226620 has 96 divisors (see below), whose sum is σ = 40094208. Its totient is φ = 2725632.

The previous prime is 12226609. The next prime is 12226631. The reversal of 12226620 is 2662221.

It is an interprime number because it is at equal distance from previous prime (12226609) and next prime (12226631).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17722 + ... + 18398.

It is an arithmetic number, because the mean of its divisors is an integer number (417648).

Almost surely, 212226620 is an apocalyptic number.

12226620 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 12226620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20047104).

12226620 is an abundant number, since it is smaller than the sum of its proper divisors (27867588).

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

12226620 is a wasteful number, since it uses less digits than its factorization.

12226620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 12226620 is about 3496.6584048202. The cubic root of 12226620 is about 230.3750654199.

Adding to 12226620 its reverse (2662221), we get a palindrome (14888841).

The spelling of 12226620 in words is "twelve million, two hundred twenty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 43 60 70 84 86 105 129 140 172 210 215 258 301 420 430 516 602 645 677 860 903 1204 1290 1354 1505 1806 2031 2580 2708 3010 3385 3612 4062 4515 4739 6020 6770 8124 9030 9478 10155 13540 14217 18060 18956 20310 23695 28434 29111 40620 47390 56868 58222 71085 87333 94780 116444 142170 145555 174666 203777 284340 291110 349332 407554 436665 582220 611331 815108 873330 1018885 1222662 1746660 2037770 2445324 3056655 4075540 6113310 12226620