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22134311010 = 2325743181517
BaseRepresentation
bin10100100111010011…
…101100100001100010
32010010120121111112200
4110213103230201202
5330312340423020
614100211034030
71412336352660
oct244723544142
963116544480
1022134311010
119429272519
12435889b916
132119919a66
1410dd943c30
1589830e590
hex5274ec862

22134311010 has 96 divisors (see below), whose sum is σ = 65923932672. Its totient is φ = 5047470720.

The previous prime is 22134310999. The next prime is 22134311011. The reversal of 22134311010 is 1011343122.

22134311010 is a `hidden beast` number, since 2 + 213 + 431 + 10 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22134311011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230772 + ... + 312288.

It is an arithmetic number, because the mean of its divisors is an integer number (686707632).

Almost surely, 222134311010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32961966336).

22134311010 is an abundant number, since it is smaller than the sum of its proper divisors (43789621662).

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

22134311010 is a wasteful number, since it uses less digits than its factorization.

22134311010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81968 (or 81965 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22134311010 its reverse (1011343122), we get a palindrome (23145654132).

The spelling of 22134311010 in words is "twenty-two billion, one hundred thirty-four million, three hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 431 630 862 1293 2155 2586 3017 3879 4310 6034 6465 7758 9051 12930 15085 18102 19395 27153 30170 38790 45255 54306 81517 90510 135765 163034 244551 271530 407585 489102 570619 733653 815170 1141238 1222755 1467306 1711857 2445510 2853095 3423714 3668265 5135571 5706190 7336530 8559285 10271142 17118570 25677855 35133827 51355710 70267654 105401481 175669135 210802962 245936789 316204443 351338270 491873578 527007405 632408886 737810367 1054014810 1229683945 1475620734 1581022215 2213431101 2459367890 3162044430 3689051835 4426862202 7378103670 11067155505 22134311010