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22440774636 = 223273110912633
BaseRepresentation
bin10100111001100100…
…110000101111101100
32010220221021110121100
4110321210300233230
5331424314242021
614150435403100
71423050302640
oct247144605754
963827243540
1022440774636
119576261145
124423453490
13216826b897
14112c51ac20
158b5198626
hex539930bec

22440774636 has 144 divisors (see below), whose sum is σ = 67006937088. Its totient is φ = 6196780800.

The previous prime is 22440774607. The next prime is 22440774637. The reversal of 22440774636 is 63647704422.

22440774636 is a `hidden beast` number, since 2 + 2 + 4 + 4 + 0 + 7 + 7 + 4 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22440774591 and 22440774600.

It is not an unprimeable number, because it can be changed into a prime (22440774637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8521576 + ... + 8524208.

It is an arithmetic number, because the mean of its divisors is an integer number (465325952).

Almost surely, 222440774636 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 22440774636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33503468544).

22440774636 is an abundant number, since it is smaller than the sum of its proper divisors (44566162452).

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

22440774636 is a wasteful number, since it uses less digits than its factorization.

22440774636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 22440774636 in words is "twenty-two billion, four hundred forty million, seven hundred seventy-four thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1091 1116 1302 1953 2182 2604 2633 3273 3906 4364 5266 6546 7637 7812 7899 9819 10532 13092 15274 15798 18431 19638 22911 23697 30548 31596 33821 36862 39276 45822 47394 55293 67642 68733 73724 81623 91644 94788 101463 110586 135284 137466 163246 165879 202926 221172 236747 244869 274932 304389 326492 331758 405852 473494 489738 571361 608778 663516 710241 734607 946988 979476 1142722 1217556 1420482 1469214 1714083 2130723 2285444 2840964 2872603 2938428 3428166 4261446 5142249 5745206 6856332 8522892 8617809 10284498 11490412 17235618 20108221 20568996 25853427 34471236 40216442 51706854 60324663 80432884 89050693 103413708 120649326 178101386 180973989 241298652 267152079 356202772 361947978 534304158 623354851 723895956 801456237 1068608316 1246709702 1602912474 1870064553 2493419404 3205824948 3740129106 5610193659 7480258212 11220387318 22440774636