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214144025 = 5241401521
BaseRepresentation
bin11001100001110…
…01010000011001
3112220221122101012
430300321100121
5414310102100
633125503305
75210123414
oct1460712031
9486848335
10214144025
11aa973637
125b871b35
133549a154
1420624b7b
1513c00135
hexcc39419

214144025 has 24 divisors (see below), whose sum is σ = 273216888. Its totient is φ = 166400000.

The previous prime is 214144013. The next prime is 214144037. The reversal of 214144025 is 520441412.

It is an interprime number because it is at equal distance from previous prime (214144013) and next prime (214144037).

It can be written as a sum of positive squares in 12 ways, for example, as 65108761 + 149035264 = 8069^2 + 12208^2 .

It is not a de Polignac number, because 214144025 - 218 = 213881881 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410765 + ... + 411285.

It is an arithmetic number, because the mean of its divisors is an integer number (11384037).

Almost surely, 2214144025 is an apocalyptic number.

214144025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214144025 is a deficient number, since it is larger than the sum of its proper divisors (59072863).

214144025 is a wasteful number, since it uses less digits than its factorization.

214144025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 214144025 is about 14633.6606835064. The cubic root of 214144025 is about 598.2765589544.

Adding to 214144025 its reverse (520441412), we get a palindrome (734585437).

The spelling of 214144025 in words is "two hundred fourteen million, one hundred forty-four thousand, twenty-five".

Divisors: 1 5 25 41 205 401 521 1025 2005 2605 10025 13025 16441 21361 82205 106805 208921 411025 534025 1044605 5223025 8565761 42828805 214144025