Search a number
-
+
2133364 = 2217137229
BaseRepresentation
bin1000001000110101110100
311000101102111
420020311310
51021231424
6113420404
724063502
oct10106564
94011374
102133364
111227912
1286a704
1359905c
143d7672
152c2194
hex208d74

2133364 has 24 divisors (see below), whose sum is σ = 3999240. Its totient is φ = 992256.

The previous prime is 2133361. The next prime is 2133367. The reversal of 2133364 is 4633312.

It is an interprime number because it is at equal distance from previous prime (2133361) and next prime (2133367).

It can be written as a sum of positive squares in 4 ways, for example, as 1192464 + 940900 = 1092^2 + 970^2 .

It is a d-powerful number, because it can be written as 23 + 1 + 38 + 312 + 313 + 6 + 45 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9202 + ... + 9430.

It is an arithmetic number, because the mean of its divisors is an integer number (166635).

22133364 is an apocalyptic number.

It is an amenable number.

2133364 is a deficient number, since it is larger than the sum of its proper divisors (1865876).

2133364 is a wasteful number, since it uses less digits than its factorization.

2133364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 2133364 is about 1460.6039846584. The cubic root of 2133364 is about 128.7325347849.

Adding to 2133364 its reverse (4633312), we get a palindrome (6766676).

The spelling of 2133364 in words is "two million, one hundred thirty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 17 34 68 137 229 274 458 548 916 2329 3893 4658 7786 9316 15572 31373 62746 125492 533341 1066682 2133364