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2202142431 = 337411732797
BaseRepresentation
bin1000001101000010…
…0000011011011111
312200110201102111210
42003100200123133
514002222024211
61002303315503
7105366621216
oct20320403337
95613642453
102202142431
11a30063225
125155abb93
13291301878
1416c67807d
15cd4e19a6
hex834206df

2202142431 has 32 divisors (see below), whose sum is σ = 3108063168. Its totient is φ = 1385026560.

The previous prime is 2202142417. The next prime is 2202142441. The reversal of 2202142431 is 1342412022.

It is not a de Polignac number, because 2202142431 - 211 = 2202140383 is a prime.

It is a super-2 number, since 2×22021424312 = 9698862572821179522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2202142398 and 2202142407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2202142441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785925 + ... + 788721.

It is an arithmetic number, because the mean of its divisors is an integer number (97126974).

Almost surely, 22202142431 is an apocalyptic number.

2202142431 is a deficient number, since it is larger than the sum of its proper divisors (905920737).

2202142431 is a wasteful number, since it uses less digits than its factorization.

2202142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2202142431 is about 46926.9904319465. The cubic root of 2202142431 is about 1301.0134958542.

Adding to 2202142431 its reverse (1342412022), we get a palindrome (3544554453).

The spelling of 2202142431 in words is "two billion, two hundred two million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 37 41 111 123 173 519 1517 2797 4551 6401 7093 8391 19203 21279 103489 114677 262441 310467 344031 483881 787323 1451643 4243049 12729147 17903597 19839121 53710791 59517363 734047477 2202142431