Search a number
-
+
22505700361 = 41236592
BaseRepresentation
bin10100111101011100…
…011011110000001001
32011002110110000221211
4110331130123300021
5332042424402421
614201115133121
71424466203524
oct247534336011
964073400854
1022505700361
1195a9976871
1244411441a1
132178851881
141136dbbbbb
158bac209e1
hex53d71bc09

22505700361 has 9 divisors (see below), whose sum is σ = 23074314343. Its totient is φ = 21950780080.

The previous prime is 22505700337. The next prime is 22505700367. The reversal of 22505700361 is 16300750522.

The square root of 22505700361 is 150019.

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., 1084450761 + 21421249600 = 32931^2 + 146360^2 .

It is not a de Polignac number, because 22505700361 - 27 = 22505700233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22505700367) 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, 6148950 + ... + 6152608.

Almost surely, 222505700361 is an apocalyptic number.

22505700361 is the 150019-th square number.

22505700361 is the 75010-th centered octagonal number.

It is an amenable number.

22505700361 is a deficient number, since it is larger than the sum of its proper divisors (568613982).

22505700361 is an frugal number, since it uses more digits than its factorization.

22505700361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7400 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The spelling of 22505700361 in words is "twenty-two billion, five hundred five million, seven hundred thousand, three hundred sixty-one".

Divisors: 1 41 1681 3659 150019 6150779 13388281 548919521 22505700361