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22309305769 = 41236432
BaseRepresentation
bin10100110001101111…
…001111110110101001
32010120202220011020001
4110301233033312221
5331142140241034
614125421503001
71416562653532
oct246157176651
963522804201
1022309305769
119509026693
1243a7411a61
132146c5a65a
141118c97689
158a8879a14
hex531bcfda9

22309305769 has 9 divisors (see below), whose sum is σ = 22872985239. Its totient is φ = 21759201840.

The previous prime is 22309305761. The next prime is 22309305787. The reversal of 22309305769 is 96750390322.

The square root of 22309305769 is 149363.

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

It can be written as a sum of positive squares in only one way, i.e., 1074987369 + 21234318400 = 32787^2 + 145720^2 .

It is not a de Polignac number, because 22309305769 - 23 = 22309305761 is a prime.

It is a super-3 number, since 3×223093057693 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22309305761) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6122062 + ... + 6125704.

Almost surely, 222309305769 is an apocalyptic number.

22309305769 is the 149363-rd square number.

22309305769 is the 74682-nd centered octagonal number.

It is an amenable number.

22309305769 is a deficient number, since it is larger than the sum of its proper divisors (563679470).

22309305769 is an frugal number, since it uses more digits than its factorization.

22309305769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7368 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The spelling of 22309305769 in words is "twenty-two billion, three hundred nine million, three hundred five thousand, seven hundred sixty-nine".

Divisors: 1 41 1681 3643 149363 6123883 13271449 544129409 22309305769