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12216852 = 2233314189
BaseRepresentation
bin101110100110…
…101000010100
3211222200101000
4232212220110
511111414402
61113503300
7205561434
oct56465024
924880330
1012216852
11699477a
124111b30
1326b990b
1418a02c4
151114c1c
hexba6a14

12216852 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3801600.

The previous prime is 12216839. The next prime is 12216857. The reversal of 12216852 is 25861221.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12216857) by changing a digit.

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, 137224 + ... + 137312.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 212216852 is an apocalyptic number.

12216852 is a gapful number since it is divisible by the number (12) 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 12216852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

12216852 is an abundant number, since it is smaller than the sum of its proper divisors (21651948).

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

12216852 is a wasteful number, since it uses less digits than its factorization.

12216852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 166 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 12216852 is about 3495.2613636179. The cubic root of 12216852 is about 230.3136992322.

The spelling of 12216852 in words is "twelve million, two hundred sixteen thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 82 89 93 108 123 124 164 178 186 246 267 279 356 369 372 492 534 558 738 801 837 1068 1107 1116 1271 1476 1602 1674 2214 2403 2542 2759 3204 3348 3649 3813 4428 4806 5084 5518 7298 7626 8277 9612 10947 11036 11439 14596 15252 16554 21894 22878 24831 32841 33108 34317 43788 45756 49662 65682 68634 74493 98523 99324 113119 131364 137268 148986 197046 226238 297972 339357 394092 452476 678714 1018071 1357428 2036142 3054213 4072284 6108426 12216852