Search a number
-
+
22193447744 = 261323755457
BaseRepresentation
bin10100101010110101…
…010010001101000000
32010021200212221220002
4110222311102031000
5330423010311434
614110122335132
71413655123166
oct245265221500
963250787802
1022193447744
119459693856
12437465a4a8
132128c53b00
141107739236
1589d5e157e
hex52ad52340

22193447744 has 84 divisors (see below), whose sum is σ = 48978176364. Its totient is φ = 9966108672.

The previous prime is 22193447719. The next prime is 22193447767. The reversal of 22193447744 is 44774439122.

It can be written as a sum of positive squares in 6 ways, for example, as 5881049344 + 16312398400 = 76688^2 + 127720^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372464 + ... + 427920.

Almost surely, 222193447744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22193447744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24489088182).

22193447744 is an abundant number, since it is smaller than the sum of its proper divisors (26784728620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22193447744 is a wasteful number, since it uses less digits than its factorization.

22193447744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55532 (or 55509 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 47.

The spelling of 22193447744 in words is "twenty-two billion, one hundred ninety-three million, four hundred forty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 169 208 296 338 416 481 592 676 832 962 1184 1352 1924 2368 2704 3848 5408 6253 7696 10816 12506 15392 25012 30784 50024 55457 100048 110914 200096 221828 400192 443656 720941 887312 1441882 1774624 2051909 2883764 3549248 4103818 5767528 8207636 9372233 11535056 16415272 18744466 23070112 26674817 32830544 37488932 46140224 53349634 65661088 74977864 106699268 131322176 149955728 213398536 299911456 346772621 426797072 599822912 693545242 853594144 1387090484 1707188288 2774180968 5548361936 11096723872 22193447744