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214183225 = 5229272
BaseRepresentation
bin11001100010000…
…10110100111001
3112221000122011001
430301002310321
5414312330400
633130405001
75210345614
oct1461026471
9487018131
10214183225
11aa9a0033
125b890761
13354b1c49
142063517b
1513c0ba6a
hexcc42d39

214183225 has 9 divisors (see below), whose sum is σ = 265677967. Its totient is φ = 171288040.

The previous prime is 214183171. The next prime is 214183237. The reversal of 214183225 is 522381412.

The square root of 214183225 is 14635.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77105961 + 137077264 = 8781^2 + 11708^2 .

It is not a de Polignac number, because 214183225 - 27 = 214183097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214183193 and 214183202.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 71712 + ... + 74638.

Almost surely, 2214183225 is an apocalyptic number.

214183225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

214183225 is the 14635-th square number.

214183225 is the 7318-th centered octagonal number.

It is an amenable number.

214183225 is a deficient number, since it is larger than the sum of its proper divisors (51494742).

214183225 is an frugal number, since it uses more digits than its factorization.

214183225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5864 (or 2932 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The cubic root of 214183225 is about 598.3130624404.

The spelling of 214183225 in words is "two hundred fourteen million, one hundred eighty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 2927 14635 73175 8567329 42836645 214183225