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2201132322 = 232122285129
BaseRepresentation
bin1000001100110010…
…1001110100100010
312200101211002220100
42003030221310202
514001442213242
61002225523230
7105355213254
oct20314516442
95611732810
102201132322
11a2a533324
125151a3516
13291039b7c
1416c493cd4
15cd39254c
hex83329d22

2201132322 has 12 divisors (see below), whose sum is σ = 4769120070. Its totient is φ = 733710768.

The previous prime is 2201132317. The next prime is 2201132327. The reversal of 2201132322 is 2232311022.

It is an interprime number because it is at equal distance from previous prime (2201132317) and next prime (2201132327).

It can be written as a sum of positive squares in only one way, i.e., 2004263361 + 196868961 = 44769^2 + 14031^2 .

It is a super-2 number, since 2×22011323222 = 9689966997906223368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 122285129 = 2201132322 / (2 + 2 + 0 + 1 + 1 + 3 + 2 + 3 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 2201132295 and 2201132304.

It is not an unprimeable number, because it can be changed into a prime (2201132327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61142547 + ... + 61142582.

Almost surely, 22201132322 is an apocalyptic number.

2201132322 is an abundant number, since it is smaller than the sum of its proper divisors (2567987748).

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

2201132322 is a wasteful number, since it uses less digits than its factorization.

2201132322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122285137 (or 122285134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2201132322 is about 46916.2266385523. The cubic root of 2201132322 is about 1300.8145431726.

Adding to 2201132322 its reverse (2232311022), we get a palindrome (4433443344).

The spelling of 2201132322 in words is "two billion, two hundred one million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 122285129 244570258 366855387 733710774 1100566161 2201132322