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22660768 = 2513194761
BaseRepresentation
bin101011001110…
…0011010100000
31120122021201201
41112130122200
521300121033
62125410544
7363420244
oct126343240
946567651
1022660768
1111878409
127709a54
134905550
14301c424
151ec947d
hex159c6a0

22660768 has 96 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 9538560.

The previous prime is 22660747. The next prime is 22660801. The reversal of 22660768 is 86706622.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371458 + ... + 371518.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 222660768 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 22660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

22660768 is an abundant number, since it is smaller than the sum of its proper divisors (29835872).

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

22660768 is a wasteful number, since it uses less digits than its factorization.

22660768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 22660768 is about 4760.3327614779. The cubic root of 22660768 is about 282.9816067657.

The spelling of 22660768 in words is "twenty-two million, six hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 47 52 61 76 94 104 122 152 188 208 244 247 304 376 416 488 494 608 611 752 793 893 976 988 1159 1222 1504 1586 1786 1952 1976 2318 2444 2867 3172 3572 3952 4636 4888 5734 6344 7144 7904 9272 9776 11468 11609 12688 14288 15067 18544 19552 22936 23218 25376 28576 30134 37088 37271 45872 46436 54473 60268 74542 91744 92872 108946 120536 149084 185744 217892 241072 298168 371488 435784 482144 596336 708149 871568 1192672 1416298 1743136 2832596 5665192 11330384 22660768