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22313323000 = 2353154314461
BaseRepresentation
bin10100110001111110…
…100100100111111000
32010121001110020211101
4110301332210213320
5331144202314000
614130043541144
71416642054553
oct246176444770
963531406741
1022313323000
11951031a911
1243a882a7b4
132147a36007
14111962169a
158a8dbee6a
hex531fa49f8

22313323000 has 64 divisors (see below), whose sum is σ = 52250627520. Its totient is φ = 8918928000.

The previous prime is 22313322973. The next prime is 22313323061. The reversal of 22313323000 is 32331322.

It is a happy number.

It is a super-3 number, since 3×223133230003 (a number of 32 digits) contains 333 as substring.

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, 1535770 + ... + 1550230.

It is an arithmetic number, because the mean of its divisors is an integer number (816416055).

Almost surely, 222313323000 is an apocalyptic number.

22313323000 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 22313323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26125313760).

22313323000 is an abundant number, since it is smaller than the sum of its proper divisors (29937304520).

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

22313323000 is a wasteful number, since it uses less digits than its factorization.

22313323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16025 (or 16011 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 22313323000 its reverse (32331322), we get a palindrome (22345654322).

The spelling of 22313323000 in words is "twenty-two billion, three hundred thirteen million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1543 3086 6172 7715 12344 14461 15430 28922 30860 38575 57844 61720 72305 77150 115688 144610 154300 192875 289220 308600 361525 385750 578440 723050 771500 1446100 1543000 1807625 2892200 3615250 7230500 14461000 22313323 44626646 89253292 111566615 178506584 223133230 446266460 557833075 892532920 1115666150 2231332300 2789165375 4462664600 5578330750 11156661500 22313323000