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10222314340 = 2257241254413
BaseRepresentation
bin10011000010100110…
…00010001101100100
3222101102002101001211
421201103002031210
5131413403024330
64410203401204
7511214144500
oct114123021544
928342071054
1010222314340
114376259077
121b93523204
13c6ba88414
146cd8b3300
153ec673d2a
hex2614c2364

10222314340 has 72 divisors (see below), whose sum is σ = 25580818872. Its totient is φ = 3419297280.

The previous prime is 10222314331. The next prime is 10222314391. The reversal of 10222314340 is 4341322201.

It can be written as a sum of positive squares in 4 ways, for example, as 50381604 + 10171932736 = 7098^2 + 100856^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87027 + ... + 167386.

It is an arithmetic number, because the mean of its divisors is an integer number (355289151).

Almost surely, 210222314340 is an apocalyptic number.

10222314340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222314340 is an abundant number, since it is smaller than the sum of its proper divisors (15358504532).

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

10222314340 is a wasteful number, since it uses less digits than its factorization.

10222314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254477 (or 254468 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10222314340 its reverse (4341322201), we get a palindrome (14563636541).

The spelling of 10222314340 in words is "ten billion, two hundred twenty-two million, three hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5740 8036 10045 20090 40180 254413 508826 1017652 1272065 1780891 2544130 3561782 5088260 7123564 8904455 10430933 12466237 17808910 20861866 24932474 35617820 41723732 49864948 52154665 62331185 73016531 104309330 124662370 146033062 208618660 249324740 292066124 365082655 511115717 730165310 1022231434 1460330620 2044462868 2555578585 5111157170 10222314340