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2198313 = 33136263
BaseRepresentation
bin1000011000101100101001
311010200112000
420120230221
51030321223
6115041213
724454035
oct10305451
94120460
102198313
111271697
128a0209
135bc7a0
144131c5
152d6543
hex218b29

2198313 has 16 divisors (see below), whose sum is σ = 3507840. Its totient is φ = 1352592.

The previous prime is 2198309. The next prime is 2198327. The reversal of 2198313 is 3138912.

It is not a de Polignac number, because 2198313 - 22 = 2198309 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

2198313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2198513) 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, 2781 + ... + 3482.

It is an arithmetic number, because the mean of its divisors is an integer number (219240).

22198313 is an apocalyptic number.

It is an amenable number.

2198313 is a deficient number, since it is larger than the sum of its proper divisors (1309527).

2198313 is a wasteful number, since it uses less digits than its factorization.

2198313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6285 (or 6279 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 2198313 is about 1482.6709007733. The cubic root of 2198313 is about 130.0258922786.

The spelling of 2198313 in words is "two million, one hundred ninety-eight thousand, three hundred thirteen".

Divisors: 1 3 9 13 27 39 117 351 6263 18789 56367 81419 169101 244257 732771 2198313