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22994316288 = 2103630803
BaseRepresentation
bin10101011010100100…
…010110110000000000
32012100111212022000000
4111122210112300000
5334043021110123
614321412000000
71442551314666
oct253244266000
965314768000
1022994316288
11982a768189
124558900000
132225b4c118
141181c4cc36
158e8a8ab43
hex55a916c00

22994316288 has 154 divisors (see below), whose sum is σ = 68919976284. Its totient is φ = 7664523264.

The previous prime is 22994316281. The next prime is 22994316299. The reversal of 22994316288 is 88261349922.

22994316288 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 4 + 3 + 1 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (22994316281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 731095 + ... + 761897.

Almost surely, 222994316288 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 22994316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34459988142).

22994316288 is an abundant number, since it is smaller than the sum of its proper divisors (45925659996).

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

22994316288 is an frugal number, since it uses more digits than its factorization.

22994316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30841 (or 30808 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 22994316288 in words is "twenty-two billion, nine hundred ninety-four million, three hundred sixteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2304 2592 2916 3072 3456 3888 4608 5184 5832 6912 7776 9216 10368 11664 13824 15552 20736 23328 27648 30803 31104 41472 46656 61606 62208 82944 92409 93312 123212 124416 184818 186624 246424 248832 277227 369636 373248 492848 554454 739272 746496 831681 985696 1108908 1478544 1663362 1971392 2217816 2495043 2957088 3326724 3942784 4435632 4990086 5914176 6653448 7485129 7885568 8871264 9980172 11828352 13306896 14970258 15771136 17742528 19960344 22455387 23656704 26613792 29940516 31542272 35485056 39920688 44910774 47313408 53227584 59881032 70970112 79841376 89821548 94626816 106455168 119762064 141940224 159682752 179643096 212910336 239524128 283880448 319365504 359286192 425820672 479048256 638731008 718572384 851641344 958096512 1277462016 1437144768 1916193024 2554924032 2874289536 3832386048 5748579072 7664772096 11497158144 22994316288