Search a number
-
+
22682394648 = 23321757917921
BaseRepresentation
bin10101000111111110…
…011110000000011000
32011112202221000221200
4111013332132000120
5332423143112043
614230430234200
71432043113314
oct250776360030
964482830850
1022682394648
11968a690901
124490355960
1321a6338bc4
141152654b44
158cb4c47d3
hex547f9e018

22682394648 has 48 divisors (see below), whose sum is σ = 61438408200. Its totient is φ = 7559946240.

The previous prime is 22682394643. The next prime is 22682394649. The reversal of 22682394648 is 84649328622.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22682394594 and 22682394603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22682394643) 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 11 ways as a sum of consecutive naturals, for example, 1256728 + ... + 1274648.

Almost surely, 222682394648 is an apocalyptic number.

It is an amenable number.

22682394648 is an abundant number, since it is smaller than the sum of its proper divisors (38756013552).

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

22682394648 is a wasteful number, since it uses less digits than its factorization.

22682394648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35512 (or 35505 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 22682394648 in words is "twenty-two billion, six hundred eighty-two million, three hundred ninety-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 17579 17921 35158 35842 52737 53763 70316 71684 105474 107526 140632 143368 158211 161289 210948 215052 316422 322578 421896 430104 632844 645156 1265688 1290312 315033259 630066518 945099777 1260133036 1890199554 2520266072 2835299331 3780399108 5670598662 7560798216 11341197324 22682394648