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12414220 = 22571319359
BaseRepresentation
bin101111010110…
…110100001100
3212100201002221
4233112310030
511134223340
61122025124
7210343030
oct57266414
925321087
1012414220
117009a95
1241a81a4
1327586c0
1419121c0
15115344a
hexbd6d0c

12414220 has 96 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3711744.

The previous prime is 12414211. The next prime is 12414263. The reversal of 12414220 is 2241421.

It is a super-2 number, since 2×124142202 = 308225716416800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12414194 and 12414203.

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 31 ways as a sum of consecutive naturals, for example, 34401 + ... + 34759.

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

Almost surely, 212414220 is an apocalyptic number.

12414220 is a gapful number since it is divisible by the number (10) 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 12414220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

12414220 is an abundant number, since it is smaller than the sum of its proper divisors (21454580).

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

12414220 is a wasteful number, since it uses less digits than its factorization.

12414220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 12414220 is about 3523.3818981200. The cubic root of 12414220 is about 231.5473486863.

Adding to 12414220 its reverse (2241421), we get a palindrome (14655641).

The spelling of 12414220 in words is "twelve million, four hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 359 364 380 455 494 532 665 718 910 988 1235 1330 1436 1729 1795 1820 2470 2513 2660 3458 3590 4667 4940 5026 6821 6916 7180 8645 9334 10052 12565 13642 17290 18668 23335 25130 27284 32669 34105 34580 46670 47747 50260 65338 68210 88673 93340 95494 130676 136420 163345 177346 190988 238735 326690 354692 443365 477470 620711 653380 886730 954940 1241422 1773460 2482844 3103555 6207110 12414220