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214303825 = 5219134481
BaseRepresentation
bin11001100011000…
…00010001010001
3112221020202120201
430301200101101
5414330210300
633133135201
75211360331
oct1461402121
9487222521
10214303825
11aaa726aa
125b92a501
1335524ac8
14206670c1
1513c3266a
hexcc60451

214303825 has 12 divisors (see below), whose sum is σ = 265934988. Its totient is φ = 171315200.

The previous prime is 214303813. The next prime is 214303841. The reversal of 214303825 is 528303412.

It can be written as a sum of positive squares in 6 ways, for example, as 10042561 + 204261264 = 3169^2 + 14292^2 .

It is not a de Polignac number, because 214303825 - 213 = 214295633 is a prime.

It is a super-2 number, since 2×2143038252 = 91852258819261250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 214303793 and 214303802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45585 + ... + 50065.

It is an arithmetic number, because the mean of its divisors is an integer number (22161249).

Almost surely, 2214303825 is an apocalyptic number.

214303825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

214303825 is a deficient number, since it is larger than the sum of its proper divisors (51631163).

214303825 is a wasteful number, since it uses less digits than its factorization.

214303825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6399 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 214303825 is about 14639.1196798168. The cubic root of 214303825 is about 598.4253386104.

The spelling of 214303825 in words is "two hundred fourteen million, three hundred three thousand, eight hundred twenty-five".

Divisors: 1 5 25 1913 4481 9565 22405 47825 112025 8572153 42860765 214303825