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22300322000 = 2453114392309
BaseRepresentation
bin10100110001001100…
…111110100011010000
32010120010222201210212
4110301030332203100
5331132340301000
614124501143252
71416423416015
oct246114764320
963503881725
1022300322000
119503a4aa90
1243a43bab28
132145133508
1411179d970c
158a7ba2c35
hex53133e8d0

22300322000 has 160 divisors (see below), whose sum is σ = 58983724800. Its totient is φ = 8087232000.

The previous prime is 22300321963. The next prime is 22300322027. The reversal of 22300322000 is 22300322.

It is a super-2 number, since 2×223003220002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9656846 + ... + 9659154.

It is an arithmetic number, because the mean of its divisors is an integer number (368648280).

Almost surely, 222300322000 is an apocalyptic number.

22300322000 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 22300322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29491862400).

22300322000 is an abundant number, since it is smaller than the sum of its proper divisors (36683402800).

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

22300322000 is a wasteful number, since it uses less digits than its factorization.

22300322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 22300322000 its reverse (22300322), we get a palindrome (22322622322).

22300322000 divided by its reverse (22300322) gives a cube (1000 = 103).

The spelling of 22300322000 in words is "twenty-two billion, three hundred million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 439 440 500 550 878 880 1000 1100 1375 1756 2000 2195 2200 2309 2750 3512 4390 4400 4618 4829 5500 7024 8780 9236 9658 10975 11000 11545 17560 18472 19316 21950 22000 23090 24145 25399 35120 36944 38632 43900 46180 48290 50798 54875 57725 77264 87800 92360 96580 101596 109750 115450 120725 126995 175600 184720 193160 203192 219500 230900 241450 253990 288625 386320 406384 439000 461800 482900 507980 577250 603625 634975 878000 923600 965800 1013651 1015960 1154500 1207250 1269950 1931600 2027302 2031920 2309000 2414500 2539900 3174875 4054604 4618000 4829000 5068255 5079800 6349750 8109208 9658000 10136510 10159600 11150161 12699500 16218416 20273020 22300322 25341275 25399000 40546040 44600644 50682550 50798000 55750805 81092080 89201288 101365100 111501610 126706375 178402576 202730200 223003220 253412750 278754025 405460400 446006440 506825500 557508050 892012880 1013651000 1115016100 1393770125 2027302000 2230032200 2787540250 4460064400 5575080500 11150161000 22300322000