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214264425 = 35219532837
BaseRepresentation
bin11001100010101…
…10101001101001
3112221011202112110
430301112221221
5414322430200
633132232533
75211134424
oct1461265151
9487152473
10214264425
11aaa46041
125b90b749
133550cbab
14206569bb
1513c25b50
hexcc56a69

214264425 has 48 divisors (see below), whose sum is σ = 380064960. Its totient is φ = 106179840.

The previous prime is 214264409. The next prime is 214264451. The reversal of 214264425 is 524462412.

214264425 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214264425 - 24 = 214264409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214264392 and 214264401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74107 + ... + 76943.

It is an arithmetic number, because the mean of its divisors is an integer number (7918020).

Almost surely, 2214264425 is an apocalyptic number.

214264425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214264425 is a deficient number, since it is larger than the sum of its proper divisors (165800535).

214264425 is a wasteful number, since it uses less digits than its factorization.

214264425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2917 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

The square root of 214264425 is about 14637.7739086242. The cubic root of 214264425 is about 598.3886626381.

The spelling of 214264425 in words is "two hundred fourteen million, two hundred sixty-four thousand, four hundred twenty-five".

Divisors: 1 3 5 15 19 25 53 57 75 95 159 265 285 475 795 1007 1325 1425 2837 3021 3975 5035 8511 14185 15105 25175 42555 53903 70925 75525 150361 161709 212775 269515 451083 751805 808545 1347575 2255415 2856859 3759025 4042725 8570577 11277075 14284295 42852885 71421475 214264425