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22323331002 = 2371923474243
BaseRepresentation
bin10100110010100100…
…101111111110111010
32010121202021201020010
4110302210233332322
5331204233043002
614131042242350
71420123116450
oct246244577672
963552251203
1022323331002
119515a35a95
1243b00563b6
132149b2b3cb
14111aaa89d0
158a9bea46c
hex53292ffba

22323331002 has 96 divisors (see below), whose sum is σ = 54019533312. Its totient is φ = 6023572128.

The previous prime is 22323330959. The next prime is 22323331003. The reversal of 22323331002 is 20013332322.

It is a super-3 number, since 3×223233310023 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 22323331002.

It is not an unprimeable number, because it can be changed into a prime (22323331003) 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, 5259093 + ... + 5263335.

It is an arithmetic number, because the mean of its divisors is an integer number (562703472).

Almost surely, 222323331002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22323331002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27009766656).

22323331002 is an abundant number, since it is smaller than the sum of its proper divisors (31696202310).

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

22323331002 is a wasteful number, since it uses less digits than its factorization.

22323331002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4621 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22323331002 its reverse (20013332322), we get a palindrome (42336663324).

The spelling of 22323331002 in words is "twenty-two billion, three hundred twenty-three million, three hundred thirty-one thousand, two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 347 361 399 694 722 798 1041 1083 2082 2166 2429 2527 4243 4858 5054 6593 7287 7581 8486 12729 13186 14574 15162 19779 25458 29701 39558 46151 59402 80617 89103 92302 125267 138453 161234 178206 241851 250534 276906 375801 483702 564319 751602 876869 1128638 1472321 1531723 1692957 1753738 2630607 2944642 3063446 3385914 4416963 4595169 5261214 8833926 9190338 10306247 10722061 20612494 21444122 27974099 30918741 32166183 55948198 61837482 64332366 83922297 167844594 195818693 391637386 531507881 587456079 1063015762 1174912158 1594523643 3189047286 3720555167 7441110334 11161665501 22323331002