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22641040 = 245377649
BaseRepresentation
bin101011001011…
…1100110010000
31120121021200001
41112113212100
521244003130
62125135344
7363305602
oct126274620
946537601
1022641040
1111864604
1276ba554
1348c9586
143015172
151ec36ca
hex1597990

22641040 has 40 divisors (see below), whose sum is σ = 54070200. Its totient is φ = 8810496.

The previous prime is 22641011. The next prime is 22641049. The reversal of 22641040 is 4014622.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 21123216 = 1232^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 22640999 and 22641017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22641049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 865 + ... + 6784.

It is an arithmetic number, because the mean of its divisors is an integer number (1351755).

Almost surely, 222641040 is an apocalyptic number.

22641040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22641040 is an abundant number, since it is smaller than the sum of its proper divisors (31429160).

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

22641040 is a wasteful number, since it uses less digits than its factorization.

22641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7699 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 22641040 is about 4758.2601862445. The cubic root of 22641040 is about 282.8994635955.

Adding to 22641040 its reverse (4014622), we get a palindrome (26655662).

The spelling of 22641040 in words is "twenty-two million, six hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 7649 15298 30596 38245 61192 76490 122384 152980 283013 305960 566026 611920 1132052 1415065 2264104 2830130 4528208 5660260 11320520 22641040