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12210264 = 233511571
BaseRepresentation
bin101110100101…
…000001011000
3211222100100000
4232211001120
511111212024
61113413000
7205533303
oct56450130
924870300
1012210264
11698a830
12410a160
1326b6911
14189bb3a
151112cc9
hexba5058

12210264 has 96 divisors (see below), whose sum is σ = 37477440. Its totient is φ = 3693600.

The previous prime is 12210241. The next prime is 12210269. The reversal of 12210264 is 46201221.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12210269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21099 + ... + 21669.

It is an arithmetic number, because the mean of its divisors is an integer number (390390).

Almost surely, 212210264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12210264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738720).

12210264 is an abundant number, since it is smaller than the sum of its proper divisors (25267176).

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

12210264 is a wasteful number, since it uses less digits than its factorization.

12210264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12210264 is about 3494.3188177383. The cubic root of 12210264 is about 230.2722925079.

Adding to 12210264 its reverse (46201221), we get a palindrome (58411485).

It can be divided in two parts, 12 and 210264, that added together give a triangular number (210276 = T648).

The spelling of 12210264 in words is "twelve million, two hundred ten thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 571 594 648 792 891 972 1142 1188 1713 1782 1944 2284 2376 2673 3426 3564 4568 5139 5346 6281 6852 7128 10278 10692 12562 13704 15417 18843 20556 21384 25124 30834 37686 41112 46251 50248 56529 61668 75372 92502 113058 123336 138753 150744 169587 185004 226116 277506 339174 370008 452232 508761 555012 678348 1017522 1110024 1356696 1526283 2035044 3052566 4070088 6105132 12210264