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214121256 = 23317230871
BaseRepresentation
bin11001100001100…
…11101100101000
3112220220111010220
430300303230220
5414303340011
633125210040
75210000136
oct1460635450
9486814126
10214121256
11aa958518
125b860920
133548c98b
142061a756
1513be8506
hexcc33b28

214121256 has 48 divisors (see below), whose sum is σ = 568662240. Its totient is φ = 67173120.

The previous prime is 214121251. The next prime is 214121261. The reversal of 214121256 is 652121412.

It is an interprime number because it is at equal distance from previous prime (214121251) and next prime (214121261).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (214121251) 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 11 ways as a sum of consecutive naturals, for example, 8500 + ... + 22371.

It is an arithmetic number, because the mean of its divisors is an integer number (11847130).

Almost surely, 2214121256 is an apocalyptic number.

It is an amenable number.

214121256 is an abundant number, since it is smaller than the sum of its proper divisors (354540984).

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

214121256 is a wasteful number, since it uses less digits than its factorization.

214121256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30914 (or 30893 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 214121256 is about 14632.8826961744. The cubic root of 214121256 is about 598.2553541573.

Adding to 214121256 its reverse (652121412), we get a palindrome (866242668).

The spelling of 214121256 in words is "two hundred fourteen million, one hundred twenty-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 30871 61742 92613 123484 185226 246968 370452 524807 740904 1049614 1574421 2099228 3148842 4198456 6297684 8921719 12595368 17843438 26765157 35686876 53530314 71373752 107060628 214121256