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22822447041 = 3237213612
BaseRepresentation
bin10101010000010100…
…101110011111000001
32011220112110102201100
4111100110232133001
5333220021301131
614252352125013
71435363412322
oct252024563701
964815412640
1022822447041
119751749289
12450b236769
1321c9364044
1411670b0449
158d893b7e6
hex55052e7c1

22822447041 has 27 divisors (see below), whose sum is σ = 33905715753. Its totient is φ = 14792872320.

The previous prime is 22822447031. The next prime is 22822447093. The reversal of 22822447041 is 14074422822.

Multipling 22822447041 by its sum of digits (36), we get a square (821608093476 = 9064262).

Adding to 22822447041 its reverse (14074422822), we get a palindrome (36896869863).

The square root of 22822447041 is 151071.

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

It can be written as a sum of positive squares in 4 ways, for example, as 203490225 + 22618956816 = 14265^2 + 150396^2 .

It is not a de Polignac number, because 22822447041 - 223 = 22814058433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22822446987 and 22822447005.

It is not an unprimeable number, because it can be changed into a prime (22822447001) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16768201 + ... + 16769561.

Almost surely, 222822447041 is an apocalyptic number.

22822447041 is the 151071-st square number.

22822447041 is the 75536-th centered octagonal number.

It is an amenable number.

22822447041 is a deficient number, since it is larger than the sum of its proper divisors (11083268712).

22822447041 is an frugal number, since it uses more digits than its factorization.

22822447041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 22822447041 in words is "twenty-two billion, eight hundred twenty-two million, four hundred forty-seven thousand, forty-one".

Divisors: 1 3 9 37 111 333 1361 1369 4083 4107 12249 12321 50357 151071 453213 1852321 1863209 5556963 5589627 16670889 16768881 68535877 205607631 616822893 2535827449 7607482347 22822447041