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214249764 = 223413591213
BaseRepresentation
bin11001100010100…
…11000100100100
3112221011000102110
430301103010210
5414321443024
633132041020
75211043611
oct1461230444
9487130373
10214249764
11aaa36023
125b903170
1335506311
1420651508
1513c21629
hexcc53124

214249764 has 48 divisors (see below), whose sum is σ = 513959040. Its totient is φ = 69423360.

The previous prime is 214249753. The next prime is 214249769. The reversal of 214249764 is 467942412.

It is a super-2 number, since 2×2142497642 = 91805922748111392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214249769) 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 15 ways as a sum of consecutive naturals, for example, 176022 + ... + 177234.

It is an arithmetic number, because the mean of its divisors is an integer number (10707480).

Almost surely, 2214249764 is an apocalyptic number.

It is an amenable number.

214249764 is an abundant number, since it is smaller than the sum of its proper divisors (299709276).

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

214249764 is a wasteful number, since it uses less digits than its factorization.

214249764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1618 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 214249764 is about 14637.2731066958. The cubic root of 214249764 is about 598.3750141190.

The spelling of 214249764 in words is "two hundred fourteen million, two hundred forty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 359 492 718 1077 1213 1436 2154 2426 3639 4308 4852 7278 14556 14719 29438 44157 49733 58876 88314 99466 149199 176628 198932 298398 435467 596796 870934 1306401 1741868 2612802 5225604 17854147 35708294 53562441 71416588 107124882 214249764