Search a number
-
+
2132322 = 23467761
BaseRepresentation
bin1000001000100101100010
311000022222220
420020211202
51021213242
6113411510
724060453
oct10104542
94008886
102132322
111227055
12869b96
1359873a
143d712a
152c1bec
hex208962

2132322 has 16 divisors (see below), whose sum is σ = 4279392. Its totient is φ = 708320.

The previous prime is 2132321. The next prime is 2132323. The reversal of 2132322 is 2232312.

It is an interprime number because it is at equal distance from previous prime (2132321) and next prime (2132323).

It is a super-2 number, since 2×21323222 = 9093594223368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2132321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2422 + ... + 3182.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

22132322 is an apocalyptic number.

2132322 is an abundant number, since it is smaller than the sum of its proper divisors (2147070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2132322 is a wasteful number, since it uses less digits than its factorization.

2132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233.

The product of its digits is 144, while the sum is 15.

The square root of 2132322 is about 1460.2472393400. The cubic root of 2132322 is about 128.7115724071.

Adding to 2132322 its reverse (2232312), we get a palindrome (4364634).

The spelling of 2132322 in words is "two million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 467 761 934 1401 1522 2283 2802 4566 355387 710774 1066161 2132322