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33980213 is a prime number
BaseRepresentation
bin1000000110011…
…1111100110101
32100221101002102
42001213330311
532144331323
63212151445
7561553451
oct201477465
970841072
1033980213
11181a9923
12b468585
137069847
144727661
152eb3328
hex2067f35

33980213 has 2 divisors, whose sum is σ = 33980214. Its totient is φ = 33980212.

The previous prime is 33980209. The next prime is 33980231. The reversal of 33980213 is 31208933.

Together with next prime (33980231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20268004 + 13712209 = 4502^2 + 3703^2 .

It is a cyclic number.

It is not a de Polignac number, because 33980213 - 22 = 33980209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33980273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16990106 + 16990107.

It is an arithmetic number, because the mean of its divisors is an integer number (16990107).

Almost surely, 233980213 is an apocalyptic number.

It is an amenable number.

33980213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33980213 is an equidigital number, since it uses as much as digits as its factorization.

33980213 is an evil number, because the sum of its binary digits is even.

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

The square root of 33980213 is about 5829.2549266609. The cubic root of 33980213 is about 323.8983226396.

The spelling of 33980213 in words is "thirty-three million, nine hundred eighty thousand, two hundred thirteen".