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12215210 = 257297257
BaseRepresentation
bin101110100110…
…001110101010
3211222121010012
4232212032222
511111341320
61113451522
7205553600
oct56461652
924877105
1012215210
116993517
124110ba2
1326b8c47
14189d870
1511144c5
hexba63aa

12215210 has 48 divisors (see below), whose sum is σ = 25941384. Its totient is φ = 4128768.

The previous prime is 12215201. The next prime is 12215219. The reversal of 12215210 is 1251221.

It is an interprime number because it is at equal distance from previous prime (12215201) and next prime (12215219).

It can be written as a sum of positive squares in 4 ways, for example, as 11909401 + 305809 = 3451^2 + 553^2 .

It is a super-2 number, since 2×122152102 = 298422710688200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12215219) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47402 + ... + 47658.

Almost surely, 212215210 is an apocalyptic number.

12215210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12215210 is an abundant number, since it is smaller than the sum of its proper divisors (13726174).

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

12215210 is a wasteful number, since it uses less digits than its factorization.

12215210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 12215210 is about 3495.0264662803. The cubic root of 12215210 is about 230.3033803700.

Adding to 12215210 its reverse (1251221), we get a palindrome (13466431).

The spelling of 12215210 in words is "twelve million, two hundred fifteen thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 97 98 194 245 257 485 490 514 679 970 1285 1358 1799 2570 3395 3598 4753 6790 8995 9506 12593 17990 23765 24929 25186 47530 49858 62965 124645 125930 174503 249290 349006 872515 1221521 1745030 2443042 6107605 12215210