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214072245 = 325172331201
BaseRepresentation
bin11001100001001…
…11101110110101
3112220210222220200
430300213232311
5414300302440
633124151113
75206404222
oct1460475665
9486728820
10214072245
11aa924712
125b838499
133547358a
1420606949
1513bd8c30
hexcc27bb5

214072245 has 48 divisors (see below), whose sum is σ = 394900272. Its totient is φ = 106905600.

The previous prime is 214072231. The next prime is 214072253. The reversal of 214072245 is 542270412.

It can be written as a sum of positive squares in 8 ways, for example, as 41254929 + 172817316 = 6423^2 + 13146^2 .

It is not a de Polignac number, because 214072245 - 214 = 214055861 is a prime.

It is a Curzon number.

It is a congruent number.

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, 177645 + ... + 178845.

It is an arithmetic number, because the mean of its divisors is an integer number (8227089).

Almost surely, 2214072245 is an apocalyptic number.

It is an amenable number.

214072245 is a deficient number, since it is larger than the sum of its proper divisors (180828027).

214072245 is a wasteful number, since it uses less digits than its factorization.

214072245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 214072245 is about 14631.2079132244. The cubic root of 214072245 is about 598.2097050531.

The spelling of 214072245 in words is "two hundred fourteen million, seventy-two thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 233 255 699 765 1165 1201 2097 3495 3603 3961 6005 10485 10809 11883 18015 19805 20417 35649 54045 59415 61251 102085 178245 183753 279833 306255 839499 918765 1399165 2518497 4197495 4757161 12592485 14271483 23785805 42814449 71357415 214072245