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214002355 = 5726713037
BaseRepresentation
bin11001100000101…
…10101010110011
3112220200110001011
430300112222303
5414241033410
633122451351
75205663400
oct1460265263
9486613034
10214002355
11aa887156
125b803b57
133544a818
14205c92a7
1513bc318a
hexcc16ab3

214002355 has 24 divisors (see below), whose sum is σ = 303211728. Its totient is φ = 144543168.

The previous prime is 214002353. The next prime is 214002359. The reversal of 214002355 is 553200412.

214002355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 214002355 - 21 = 214002353 is a prime.

It is a super-3 number, since 3×2140023553 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214002353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9897 + ... + 22933.

It is an arithmetic number, because the mean of its divisors is an integer number (12633822).

Almost surely, 2214002355 is an apocalyptic number.

214002355 is a deficient number, since it is larger than the sum of its proper divisors (89209373).

214002355 is a wasteful number, since it uses less digits than its factorization.

214002355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123 (or 13116 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 214002355 is about 14628.8193303493. The cubic root of 214002355 is about 598.1445970845.

Adding to 214002355 its reverse (553200412), we get a palindrome (767202767).

The spelling of 214002355 in words is "two hundred fourteen million, two thousand, three hundred fifty-five".

Divisors: 1 5 7 35 49 67 245 335 469 2345 3283 13037 16415 65185 91259 456295 638813 873479 3194065 4367395 6114353 30571765 42800471 214002355