Search a number
-
+
22204576144 = 24372532
BaseRepresentation
bin10100101011011111…
…101111000110010000
32010022110211100012001
4110223133233012100
5330433332414034
614111201043344
71414151532412
oct245337570620
963273740161
1022204576144
1194649a4783
124378326554
13212b34c16a
141108dd49b2
1589e58da14
hex52b7ef190

22204576144 has 15 divisors (see below), whose sum is σ = 43022521153. Its totient is φ = 11101990048.

The previous prime is 22204576117. The next prime is 22204576159. The reversal of 22204576144 is 44167540222.

The square root of 22204576144 is 149012.

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., 22195040400 + 9535744 = 148980^2 + 3088^2 .

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 577422 + ... + 614674.

Almost surely, 222204576144 is an apocalyptic number.

22204576144 is the 149012-nd square number.

It is an amenable number.

22204576144 is a deficient number, since it is larger than the sum of its proper divisors (20817945009).

22204576144 is an frugal number, since it uses more digits than its factorization.

22204576144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74514 (or 37255 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 22204576144 in words is "twenty-two billion, two hundred four million, five hundred seventy-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 37253 74506 149012 298024 596048 1387786009 2775572018 5551144036 11102288072 22204576144