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22351004240 = 245797350549
BaseRepresentation
bin10100110100001110…
…010100001001010000
32010200200100122202212
4110310032110021100
5331233324113430
614133511331252
71420610254445
oct246416241120
963620318685
1022351004240
11952a617334
1243b9380b28
13215279a2c6
14112062d9cc
158ac364b95
hex534394250

22351004240 has 40 divisors (see below), whose sum is σ = 52031435400. Its totient is φ = 8929158656.

The previous prime is 22351004227. The next prime is 22351004257. The reversal of 22351004240 is 4240015322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 58125376 + 22292878864 = 7624^2 + 149308^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 111515 + ... + 239034.

It is an arithmetic number, because the mean of its divisors is an integer number (1300785885).

Almost surely, 222351004240 is an apocalyptic number.

22351004240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22351004240 is an abundant number, since it is smaller than the sum of its proper divisors (29680431160).

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

22351004240 is a wasteful number, since it uses less digits than its factorization.

22351004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351359 (or 351353 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 22351004240 its reverse (4240015322), we get a palindrome (26591019562).

The spelling of 22351004240 in words is "twenty-two billion, three hundred fifty-one million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 797 1594 3188 3985 6376 7970 12752 15940 31880 63760 350549 701098 1402196 1752745 2804392 3505490 5608784 7010980 14021960 28043920 279387553 558775106 1117550212 1396937765 2235100424 2793875530 4470200848 5587751060 11175502120 22351004240