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214015256 = 237131491973
BaseRepresentation
bin11001100000110…
…01110100011000
3112220201002201222
430300121310120
5414241442011
633123031212
75206046120
oct1460316430
9486632658
10214015256
11aa895914
125b80b508
1335453660
14205cdc80
1513bc6ddb
hexcc19d18

214015256 has 64 divisors (see below), whose sum is σ = 497448000. Its totient is φ = 84054528.

The previous prime is 214015237. The next prime is 214015279. The reversal of 214015256 is 652510412.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107486 + ... + 109458.

It is an arithmetic number, because the mean of its divisors is an integer number (7772625).

Almost surely, 2214015256 is an apocalyptic number.

214015256 is a gapful number since it is divisible by the number (26) 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 214015256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248724000).

214015256 is an abundant number, since it is smaller than the sum of its proper divisors (283432744).

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

214015256 is a wasteful number, since it uses less digits than its factorization.

214015256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 214015256 is about 14629.2602683799. The cubic root of 214015256 is about 598.1566164357.

Adding to 214015256 its reverse (652510412), we get a palindrome (866525668).

The spelling of 214015256 in words is "two hundred fourteen million, fifteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 149 182 298 364 596 728 1043 1192 1937 1973 2086 3874 3946 4172 7748 7892 8344 13559 13811 15496 15784 25649 27118 27622 51298 54236 55244 102596 108472 110488 179543 205192 293977 359086 587954 718172 1175908 1436344 2057839 2351816 3821701 4115678 7643402 8231356 15286804 16462712 26751907 30573608 53503814 107007628 214015256