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12213630 = 23251113273
BaseRepresentation
bin101110100101…
…110101111110
3211222111221200
4232211311332
511111314010
61113440330
7205546152
oct56456576
924874850
1012213630
116992310
1241100a6
1326b8300
14189d062
151113cc0
hexba5d7e

12213630 has 144 divisors (see below), whose sum is σ = 38025936. Its totient is φ = 2695680.

The previous prime is 12213629. The next prime is 12213647. The reversal of 12213630 is 3631221.

12213630 is a `hidden beast` number, since 1 + 22 + 13 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167274 + ... + 167346.

It is an arithmetic number, because the mean of its divisors is an integer number (264069).

Almost surely, 212213630 is an apocalyptic number.

12213630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12213630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012968).

12213630 is an abundant number, since it is smaller than the sum of its proper divisors (25812306).

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

12213630 is a wasteful number, since it uses less digits than its factorization.

12213630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12213630 is about 3494.8004234863. The cubic root of 12213630 is about 230.2934502629.

Adding to 12213630 its reverse (3631221), we get a palindrome (15844851).

It can be divided in two parts, 1221 and 3630, that added together give a triangular number (4851 = T98).

The spelling of 12213630 in words is "twelve million, two hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 73 78 90 99 110 117 130 143 146 165 169 195 198 219 234 286 330 338 365 390 429 438 495 507 585 657 715 730 803 845 858 949 990 1014 1095 1170 1287 1314 1430 1521 1606 1690 1859 1898 2145 2190 2409 2535 2574 2847 3042 3285 3718 4015 4290 4745 4818 5070 5577 5694 6435 6570 7227 7605 8030 8541 9295 9490 10439 11154 12045 12337 12870 14235 14454 15210 16731 17082 18590 20878 24090 24674 27885 28470 31317 33462 36135 37011 42705 52195 55770 61685 62634 72270 74022 83655 85410 93951 104390 111033 123370 135707 156585 167310 185055 187902 222066 271414 313170 370110 407121 469755 555165 678535 814242 939510 1110330 1221363 1357070 2035605 2442726 4071210 6106815 12213630