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213268417 = 17383523
BaseRepresentation
bin11001011011000…
…11011111000001
3112212022011021021
430231203133001
5414044042132
633055025441
75166515545
oct1455433701
9485264237
10213268417
11aa42579a
125b50b281
133525173b
1420477a25
1513aca997
hexcb637c1

213268417 has 16 divisors (see below), whose sum is σ = 229763520. Its totient is φ = 197925696.

The previous prime is 213268409. The next prime is 213268423. The reversal of 213268417 is 714862312.

It is not a de Polignac number, because 213268417 - 23 = 213268409 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 (213268477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407518 + ... + 408040.

It is an arithmetic number, because the mean of its divisors is an integer number (14360220).

Almost surely, 2213268417 is an apocalyptic number.

It is an amenable number.

213268417 is a deficient number, since it is larger than the sum of its proper divisors (16495103).

213268417 is an frugal number, since it uses more digits than its factorization.

213268417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 623 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 213268417 is about 14603.7124389656. The cubic root of 213268417 is about 597.4600191498.

The spelling of 213268417 in words is "two hundred thirteen million, two hundred sixty-eight thousand, four hundred seventeen".

Divisors: 1 17 83 289 523 1411 4913 8891 23987 43409 151147 407779 737953 2569499 12545201 213268417