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2142222431 = 19293887881
BaseRepresentation
bin111111110101111…
…1011100001011111
312112021222011201112
41333223323201133
513341402104211
6552323132235
7104041406306
oct17753734137
95467864645
102142222431
119aa257468
124b951407b
13281a8214b
1416471b43d
15c810788b
hex7fafb85f

2142222431 has 8 divisors (see below), whose sum is σ = 2332729200. Its totient is φ = 1959491520.

The previous prime is 2142222403. The next prime is 2142222527. The reversal of 2142222431 is 1342222412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142222431 - 218 = 2141960287 is a prime.

It is a super-2 number, since 2×21422224312 = 9178233887759099522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142222397 and 2142222406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142222331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1943390 + ... + 1944491.

It is an arithmetic number, because the mean of its divisors is an integer number (291591150).

Almost surely, 22142222431 is an apocalyptic number.

2142222431 is a deficient number, since it is larger than the sum of its proper divisors (190506769).

2142222431 is a wasteful number, since it uses less digits than its factorization.

2142222431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887929.

The product of its digits is 1536, while the sum is 23.

The square root of 2142222431 is about 46284.1488092846. The cubic root of 2142222431 is about 1289.1046871348.

Adding to 2142222431 its reverse (1342222412), we get a palindrome (3484444843).

The spelling of 2142222431 in words is "two billion, one hundred forty-two million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 19 29 551 3887881 73869739 112748549 2142222431