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12213300 = 22352113701
BaseRepresentation
bin101110100101…
…110000110100
3211222111111110
4232211300310
511111311200
61113435020
7205545201
oct56456064
924874443
1012213300
116992040
12410ba70
1326b8108
14189cca8
151113b50
hexba5c34

12213300 has 72 divisors (see below), whose sum is σ = 38560032. Its totient is φ = 2960000.

The previous prime is 12213283. The next prime is 12213317. The reversal of 12213300 is 331221.

It is a happy number.

12213300 is digitally balanced in base 2 and base 4, because in such bases 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 (12213283) and next prime (12213317).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1450 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (535556).

Almost surely, 212213300 is an apocalyptic number.

12213300 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 12213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280016).

12213300 is an abundant number, since it is smaller than the sum of its proper divisors (26346732).

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

12213300 is a wasteful number, since it uses less digits than its factorization.

12213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12213300 is about 3494.7532101709. The cubic root of 12213300 is about 230.2913761451.

Adding to 12213300 its reverse (331221), we get a palindrome (12544521).

It can be divided in two parts, 12 and 213300, that added together give a palindrome (213312).

The spelling of 12213300 in words is "twelve million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3701 7402 11103 14804 18505 22206 37010 40711 44412 55515 74020 81422 92525 111030 122133 162844 185050 203555 222060 244266 277575 370100 407110 488532 555150 610665 814220 1017775 1110300 1221330 2035550 2442660 3053325 4071100 6106650 12213300