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22720437289 = 1127121932
BaseRepresentation
bin10101001010001111…
…100101110000101001
32011122102111210122101
4111022033211300221
5333012412443124
614234305453401
71433014346644
oct251217456051
964572453571
1022720437289
1196aa104900
1244a1041261
1321b1198844
141157718a5b
158ce9db644
hex54a3e5c29

22720437289 has 27 divisors (see below), whose sum is σ = 25462325847. Its totient is φ = 20258515200.

The previous prime is 22720437283. The next prime is 22720437317. The reversal of 22720437289 is 98273402722.

The square root of 22720437289 is 150733.

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., 5504898025 + 17215539264 = 74195^2 + 131208^2 .

It is not a de Polignac number, because 22720437289 - 213 = 22720429097 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22720437283) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 117722377 + ... + 117722569.

Almost surely, 222720437289 is an apocalyptic number.

22720437289 is the 150733-rd square number.

22720437289 is the 75367-th centered octagonal number.

It is an amenable number.

22720437289 is a deficient number, since it is larger than the sum of its proper divisors (2741888558).

22720437289 is an frugal number, since it uses more digits than its factorization.

22720437289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

The spelling of 22720437289 in words is "twenty-two billion, seven hundred twenty million, four hundred thirty-seven thousand, two hundred eighty-nine".

Divisors: 1 11 71 121 193 781 2123 5041 8591 13703 23353 37249 55451 150733 409739 609961 972913 1658063 2644679 4507129 10702043 29091469 117722473 187772209 320006159 2065494299 22720437289