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22680270200 = 2352745735449
BaseRepresentation
bin10101000111110110…
…010111010101111000
32011112121221002202102
4111013312113111320
5332422122121300
614230312522532
71432016054510
oct250766272570
964477832672
1022680270200
11968946a765
12448b6b0448
1321a5a73c33
141152260840
158cb2050d5
hex547d97578

22680270200 has 96 divisors (see below), whose sum is σ = 60398292000. Its totient is φ = 7758858240.

The previous prime is 22680270199. The next prime is 22680270203. The reversal of 22680270200 is 207208622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680270203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622076 + ... + 657524.

It is an arithmetic number, because the mean of its divisors is an integer number (629148875).

Almost surely, 222680270200 is an apocalyptic number.

22680270200 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 22680270200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30199146000).

22680270200 is an abundant number, since it is smaller than the sum of its proper divisors (37718021800).

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

22680270200 is a wasteful number, since it uses less digits than its factorization.

22680270200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35929 (or 35920 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

Adding to 22680270200 its reverse (207208622), we get a palindrome (22887478822).

The spelling of 22680270200 in words is "twenty-two billion, six hundred eighty million, two hundred seventy thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 457 700 914 1400 1828 2285 3199 3656 4570 6398 9140 11425 12796 15995 18280 22850 25592 31990 35449 45700 63980 70898 79975 91400 127960 141796 159950 177245 248143 283592 319900 354490 496286 639800 708980 886225 992572 1240715 1417960 1772450 1985144 2481430 3544900 4962860 6203575 7089800 9925720 12407150 16200193 24814300 32400386 49628600 64800772 81000965 113401351 129601544 162001930 226802702 324003860 405004825 453605404 567006755 648007720 810009650 907210808 1134013510 1620019300 2268027020 2835033775 3240038600 4536054040 5670067550 11340135100 22680270200