Search a number
-
+
10221414344 = 2319197353967
BaseRepresentation
bin10011000010011111…
…00110011111001000
3222101100101122111122
421201033212133020
5131413140224334
64410132214412
7511203405551
oct114117463710
928340348448
1010221414344
1143757a3979
121b9316a408
13c6b83188b
146cd71b328
153ec54732e
hex2613e67c8

10221414344 has 64 divisors (see below), whose sum is σ = 20354716800. Its totient is φ = 4798531584.

The previous prime is 10221414299. The next prime is 10221414367. The reversal of 10221414344 is 44341412201.

10221414344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102214143442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10569749 + ... + 10570715.

It is an arithmetic number, because the mean of its divisors is an integer number (318042450).

Almost surely, 210221414344 is an apocalyptic number.

It is an amenable number.

10221414344 is a deficient number, since it is larger than the sum of its proper divisors (10133302456).

10221414344 is a wasteful number, since it uses less digits than its factorization.

10221414344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 10221414344 its reverse (44341412201), we get a palindrome (54562826545).

The spelling of 10221414344 in words is "ten billion, two hundred twenty-one million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 19 38 76 152 197 353 394 706 788 967 1412 1576 1934 2824 3743 3868 6707 7486 7736 13414 14972 18373 26828 29944 36746 53656 69541 73492 139082 146984 190499 278164 341351 380998 556328 682702 761996 1321279 1365404 1523992 2642558 2730808 3619481 5285116 6485669 7238962 10570232 12971338 14477924 25942676 28955848 51885352 67246147 134492294 268984588 537969176 1277676793 2555353586 5110707172 10221414344