22267503729 has 9 divisors (see below), whose sum is σ = 32164818699. Its totient is φ = 14844704040.

The previous prime is 22267503707. The next prime is 22267503733. The reversal of 22267503729 is 92730576222.

The square root of 22267503729 is 149223.

It is a perfect power (a square), and thus also a powerful number.

22267503729 is a `hidden beast` number, since 2 + 226 + 7 + 50 + 372 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20685055329 + 1582448400 = 143823^2 + 39780^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 22267503729 - 2²⁹ = 21730632817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22267503779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 422799 + ... + 472539.

Almost surely, 2^22267503729 is an apocalyptic number.

22267503729 is the 149223-rd square number.

22267503729 is the 74612-nd centered octagonal number.

It is an amenable number.

22267503729 is a deficient number, since it is larger than the sum of its proper divisors (9897314970).

22267503729 is an frugal number, since it uses more digits than its factorization.

22267503729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99488 (or 49744 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 22267503729 in words is "twenty-two billion, two hundred sixty-seven million, five hundred three thousand, seven hundred twenty-nine".