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2204122431 = 37723714503
BaseRepresentation
bin1000001101100000…
…0011110100111111
312200121110000120010
42003120003310333
514003223404211
61002413554303
7105422505630
oct20330036477
95617400503
102204122431
11a31195895
125161a5993
13291845b74
1416ca31887
15cd7834a6
hex83603d3f

2204122431 has 16 divisors (see below), whose sum is σ = 3359358464. Its totient is φ = 1259237664.

The previous prime is 2204122429. The next prime is 2204122433. The reversal of 2204122431 is 1342214022.

2204122431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2204122429) and next prime (2204122433).

It is not a de Polignac number, because 2204122431 - 21 = 2204122429 is a prime.

It is a super-2 number, since 2×22041224312 = 9716311381674699522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2204122398 and 2204122407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2204122433) 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, 144726 + ... + 159228.

It is an arithmetic number, because the mean of its divisors is an integer number (209959904).

Almost surely, 22204122431 is an apocalyptic number.

2204122431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2204122431 is a deficient number, since it is larger than the sum of its proper divisors (1155236033).

2204122431 is a wasteful number, since it uses less digits than its factorization.

2204122431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21750.

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

The square root of 2204122431 is about 46948.0822931033. The cubic root of 2204122431 is about 1301.4033033769.

Adding to 2204122431 its reverse (1342214022), we get a palindrome (3546336453).

The spelling of 2204122431 in words is "two billion, two hundred four million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 7237 14503 21711 43509 50659 101521 151977 304563 104958211 314874633 734707477 2204122431