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23202203120 = 2452359213727
BaseRepresentation
bin10101100110111101…
…011000010111110000
32012220000001001010022
4111212331120113300
5340004230444440
614354155423012
71450654321025
oct254675302760
965800031108
1023202203120
119927047688
1245b6454a68
132259c38195
1411a16c554c
1590be51cb5
hex566f585f0

23202203120 has 80 divisors (see below), whose sum is σ = 57244907520. Its totient is φ = 8726860032.

The previous prime is 23202203119. The next prime is 23202203137. The reversal of 23202203120 is 2130220232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1697 + ... + 215423.

It is an arithmetic number, because the mean of its divisors is an integer number (715561344).

Almost surely, 223202203120 is an apocalyptic number.

23202203120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23202203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28622453760).

23202203120 is an abundant number, since it is smaller than the sum of its proper divisors (34042704400).

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

23202203120 is a wasteful number, since it uses less digits than its factorization.

23202203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213822 (or 213816 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 23202203120 its reverse (2130220232), we get a palindrome (25332423352).

The spelling of 23202203120 in words is "twenty-three billion, two hundred two million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 59 80 92 115 118 184 230 236 295 368 460 472 590 920 944 1180 1357 1840 2360 2714 4720 5428 6785 10856 13570 21712 27140 54280 108560 213727 427454 854908 1068635 1709816 2137270 3419632 4274540 4915721 8549080 9831442 12609893 17098160 19662884 24578605 25219786 39325768 49157210 50439572 63049465 78651536 98314420 100879144 126098930 196628840 201758288 252197860 290027539 393257680 504395720 580055078 1008791440 1160110156 1450137695 2320220312 2900275390 4640440624 5800550780 11601101560 23202203120