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2122215431 = 7319325643
BaseRepresentation
bin111111001111110…
…0111000000000111
312110220022201021112
41332133213000013
513321241343211
6550330235235
7103406351000
oct17637470007
95426281245
102122215431
11999a31956
124b2885b1b
1327a89879b
14161bd01a7
15c64a488b
hex7e7e7007

2122215431 has 16 divisors (see below), whose sum is σ = 2605152000. Its totient is φ = 1723297464.

The previous prime is 2122215397. The next prime is 2122215439. The reversal of 2122215431 is 1345122212.

It is a de Polignac number, because none of the positive numbers 2k-2122215431 is a prime.

It is a super-2 number, since 2×21222154312 = 9007596671149031522, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2122215397 and 2122215406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122215439) 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, 156305 + ... + 169338.

It is an arithmetic number, because the mean of its divisors is an integer number (162822000).

Almost surely, 22122215431 is an apocalyptic number.

2122215431 is a deficient number, since it is larger than the sum of its proper divisors (482936569).

2122215431 is an equidigital number, since it uses as much as digits as its factorization.

2122215431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325683 (or 325669 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 2122215431 is about 46067.5094942195. The cubic root of 2122215431 is about 1285.0789882153.

Adding to 2122215431 its reverse (1345122212), we get a palindrome (3467337643).

The spelling of 2122215431 in words is "two billion, one hundred twenty-two million, two hundred fifteen thousand, four hundred thirty-one".

Divisors: 1 7 19 49 133 343 931 6517 325643 2279501 6187217 15956507 43310519 111695549 303173633 2122215431