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2228192142 = 23111711291759
BaseRepresentation
bin1000010011001111…
…1000001110001110
312202021201212222220
42010303320032032
514030404122032
61005033520210
7106134215001
oct20463701616
95667655886
102228192142
11a43835810
12522273066
132968227b7
14171cd9538
15d093a12c
hex84cf838e

2228192142 has 64 divisors (see below), whose sum is σ = 5154969600. Its totient is φ = 634567680.

The previous prime is 2228192129. The next prime is 2228192147. The reversal of 2228192142 is 2412918222.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228192147) 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, 1265859 + ... + 1267617.

It is an arithmetic number, because the mean of its divisors is an integer number (80546400).

Almost surely, 22228192142 is an apocalyptic number.

2228192142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2228192142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577484800).

2228192142 is an abundant number, since it is smaller than the sum of its proper divisors (2926777458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2228192142 is a wasteful number, since it uses less digits than its factorization.

2228192142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921.

The product of its digits is 9216, while the sum is 33.

The square root of 2228192142 is about 47203.7301704007. The cubic root of 2228192142 is about 1306.1234077941.

The spelling of 2228192142 in words is "two billion, two hundred twenty-eight million, one hundred ninety-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1129 1759 2258 3387 3518 5277 6774 10554 12419 19193 19349 24838 29903 37257 38386 38698 57579 58047 59806 74514 89709 115158 116094 179418 211123 328933 422246 633369 657866 986799 1266738 1973598 1985911 3971822 5957733 11915466 21845021 33760487 43690042 65535063 67520974 101281461 131070126 202562922 371365357 742730714 1114096071 2228192142