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12213828 = 22341123149
BaseRepresentation
bin101110100101…
…111001000100
3211222112020000
4232211321010
511111320303
61113441300
7205546554
oct56457104
924875200
1012213828
116992480
124110230
1326b8423
14189d164
151113da3
hexba5e44

12213828 has 120 divisors (see below), whose sum is σ = 36590400. Its totient is φ = 3516480.

The previous prime is 12213823. The next prime is 12213841. The reversal of 12213828 is 82831221.

12213828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12213821) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81898 + ... + 82046.

It is an arithmetic number, because the mean of its divisors is an integer number (304920).

Almost surely, 212213828 is an apocalyptic number.

12213828 is a gapful number since it is divisible by the number (18) 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 12213828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295200).

12213828 is an abundant number, since it is smaller than the sum of its proper divisors (24376572).

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

12213828 is a wasteful number, since it uses less digits than its factorization.

12213828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 188 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12213828 is about 3494.8287511694. The cubic root of 12213828 is about 230.2946947157.

It can be divided in two parts, 12213 and 828, that added together give a triangular number (13041 = T161).

The spelling of 12213828 in words is "twelve million, two hundred thirteen thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 66 69 81 92 99 108 132 138 149 162 198 207 253 276 297 298 324 396 414 447 506 594 596 621 759 828 891 894 1012 1188 1242 1341 1518 1639 1782 1788 1863 2277 2484 2682 3036 3278 3427 3564 3726 4023 4554 4917 5364 6556 6831 6854 7452 8046 9108 9834 10281 12069 13662 13708 14751 16092 19668 20493 20562 24138 27324 29502 30843 37697 40986 41124 44253 48276 59004 61686 75394 81972 88506 92529 113091 123372 132759 150788 177012 185058 226182 265518 277587 339273 370116 452364 531036 555174 678546 1017819 1110348 1357092 2035638 3053457 4071276 6106914 12213828