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22124302002 = 232112341118493
BaseRepresentation
bin10100100110101101…
…100000111010110010
32010002212202222202200
4110212231200322302
5330302310131002
614055212324030
71412155315125
oct244655407262
963085688680
1022124302002
119423656610
124355473616
13211782407a
1410dc49a3bc
158974d3b1c
hex526b60eb2

22124302002 has 96 divisors (see below), whose sum is σ = 55898833536. Its totient is φ = 6256377600.

The previous prime is 22124301989. The next prime is 22124302009. The reversal of 22124302002 is 20020342122.

22124302002 is a `hidden beast` number, since 2 + 212 + 430 + 20 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22124302009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127468 + ... + 245960.

It is an arithmetic number, because the mean of its divisors is an integer number (582279516).

Almost surely, 222124302002 is an apocalyptic number.

22124302002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22124302002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27949416768).

22124302002 is an abundant number, since it is smaller than the sum of its proper divisors (33774531534).

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

22124302002 is a wasteful number, since it uses less digits than its factorization.

22124302002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118576 (or 118573 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 22124302002 its reverse (20020342122), we get a palindrome (42144644124).

The spelling of 22124302002 in words is "twenty-two billion, one hundred twenty-four million, three hundred two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 23 33 41 46 66 69 82 99 123 138 198 207 246 253 369 414 451 506 738 759 902 943 1353 1518 1886 2277 2706 2829 4059 4554 5658 8118 8487 10373 16974 20746 31119 62238 93357 118493 186714 236986 355479 710958 1066437 1303423 2132874 2606846 2725339 3910269 4858213 5450678 7820538 8176017 9716426 11730807 14574639 16352034 23461614 24528051 29149278 29978729 43723917 49056102 53440343 59957458 87447834 89936187 106880686 111738899 160321029 179872374 223477798 269808561 320642058 335216697 480963087 539617122 670433394 961926174 1005650091 1229127889 2011300182 2458255778 3687383667 7374767334 11062151001 22124302002