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22448700564 = 22319536592819
BaseRepresentation
bin10100111010000010…
…111111110010010100
32010221111012010221020
4110322002333302110
5331433331404224
614151321321140
71423204543413
oct247202776224
963844163836
1022448700564
11957a784aa4
1244260361b0
132169ab5394
14112d5c147a
158b5c11c79
hex53a0bfc94

22448700564 has 96 divisors (see below), whose sum is σ = 56282688000. Its totient is φ = 6942289536.

The previous prime is 22448700563. The next prime is 22448700581. The reversal of 22448700564 is 46500784422.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22448700563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7961947 + ... + 7964765.

It is an arithmetic number, because the mean of its divisors is an integer number (586278000).

Almost surely, 222448700564 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 22448700564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28141344000).

22448700564 is an abundant number, since it is smaller than the sum of its proper divisors (33833987436).

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

22448700564 is a wasteful number, since it uses less digits than its factorization.

22448700564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3557 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 22448700564 in words is "twenty-two billion, four hundred forty-eight million, seven hundred thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 659 1007 1318 1977 2014 2636 2819 3021 3954 4028 5638 6042 7908 8457 11276 12084 12521 16914 25042 33828 34927 37563 50084 53561 69854 75126 104781 107122 139708 149407 150252 160683 209562 214244 298814 321366 419124 448221 597628 642732 663613 896442 1327226 1792884 1857721 1990839 2654452 2838733 3715442 3981678 5573163 5677466 7430884 7963356 8516199 11146326 11354932 17032398 22292652 34064796 35296699 70593398 98459213 105890097 141186796 196918426 211780194 295377639 393836852 423560388 590755278 1181510556 1870725047 3741450094 5612175141 7482900188 11224350282 22448700564