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12210032 = 2431103239
BaseRepresentation
bin101110100100…
…111101110000
3211222100000102
4232210331300
511111210112
61113411532
7205532522
oct56447560
924870012
1012210032
11698a63a
124109ba8
1326b6793
14189ba12
151112bc2
hexba4f70

12210032 has 40 divisors (see below), whose sum is σ = 24760320. Its totient is φ = 5826240.

The previous prime is 12210019. The next prime is 12210041. The reversal of 12210032 is 23001221.

It is a happy number.

It is a super-3 number, since 3×122100323 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12209995 and 12210022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50969 + ... + 51207.

It is an arithmetic number, because the mean of its divisors is an integer number (619008).

Almost surely, 212210032 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 12210032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380160).

12210032 is an abundant number, since it is smaller than the sum of its proper divisors (12550288).

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

12210032 is a wasteful number, since it uses less digits than its factorization.

12210032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12210032 is about 3494.2856208387. The cubic root of 12210032 is about 230.2708340761.

Adding to 12210032 its reverse (23001221), we get a palindrome (35211253).

The spelling of 12210032 in words is "twelve million, two hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 31 62 103 124 206 239 248 412 478 496 824 956 1648 1912 3193 3824 6386 7409 12772 14818 24617 25544 29636 49234 51088 59272 98468 118544 196936 393872 763127 1526254 3052508 6105016 12210032