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214303961 = 312269829
BaseRepresentation
bin11001100011000…
…00010011011001
3112221020202202202
430301200103121
5414330211321
633133135545
75211360614
oct1461402331
9487222682
10214303961
11aaa72813
125b92a5b5
1335524ba1
142066717b
1513c3270b
hexcc604d9

214303961 has 12 divisors (see below), whose sum is σ = 222531300. Its totient is φ = 206370720.

The previous prime is 214303951. The next prime is 214303967. The reversal of 214303961 is 169303412.

It can be written as a sum of positive squares in 2 ways, for example, as 60543961 + 153760000 = 7781^2 + 12400^2 .

It is not a de Polignac number, because 214303961 - 26 = 214303897 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214303967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 258095 + ... + 258923.

It is an arithmetic number, because the mean of its divisors is an integer number (18544275).

Almost surely, 2214303961 is an apocalyptic number.

It is an amenable number.

214303961 is a deficient number, since it is larger than the sum of its proper divisors (8227339).

214303961 is an equidigital number, since it uses as much as digits as its factorization.

214303961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 214303961 is about 14639.1243249041. The cubic root of 214303961 is about 598.4254651998.

The spelling of 214303961 in words is "two hundred fourteen million, three hundred three thousand, nine hundred sixty-one".

Divisors: 1 31 269 829 961 8339 25699 223001 258509 796669 6913031 214303961