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2142222412 = 2211192562467
BaseRepresentation
bin111111110101111…
…1011100001001100
312112021222011200211
41333223323201030
513341402104122
6552323132204
7104041406251
oct17753734114
95467864624
102142222412
119aa257450
124b9514064
13281a82135
1416471b428
15c8107877
hex7fafb84c

2142222412 has 24 divisors (see below), whose sum is σ = 4304946240. Its totient is φ = 922487760.

The previous prime is 2142222403. The next prime is 2142222527.

2142222412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1280398 + ... + 1282069.

It is an arithmetic number, because the mean of its divisors is an integer number (179372760).

Almost surely, 22142222412 is an apocalyptic number.

2142222412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2142222412 is an abundant number, since it is smaller than the sum of its proper divisors (2162723828).

2142222412 is a wasteful number, since it uses less digits than its factorization.

2142222412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562501 (or 2562499 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 2142222412 is about 46284.1486040307. The cubic root of 2142222412 is about 1289.1046833237.

It can be divided in two parts, 21422 and 22412, that added together give a palindrome (43834).

The spelling of 2142222412 in words is "two billion, one hundred forty-two million, two hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 4 11 19 22 38 44 76 209 418 836 2562467 5124934 10249868 28187137 48686873 56374274 97373746 112748548 194747492 535555603 1071111206 2142222412