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20200022200 = 23521728121143
BaseRepresentation
bin10010110100000000…
…111110000010111000
31221010202220110010101
4102310000332002320
5312332201202300
613140232325144
71313401233001
oct226400760270
957122813111
1020200022200
118626427726
123ab8b437b4
131b9bc6c077
14d98ab21a8
157d35cbb6a
hex4b403e0b8

20200022200 has 96 divisors (see below), whose sum is σ = 49907028960. Its totient is φ = 7577292800.

The previous prime is 20200022179. The next prime is 20200022201. The reversal of 20200022200 is 222000202.

It is a Harshad number since it is a multiple of its sum of digits (10).

20200022200 is a modest number, since divided by 22200 gives 20200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200022201) 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, 944829 + ... + 965971.

It is an arithmetic number, because the mean of its divisors is an integer number (519864885).

Almost surely, 220200022200 is an apocalyptic number.

20200022200 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 20200022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24953514480).

20200022200 is an abundant number, since it is smaller than the sum of its proper divisors (29707006760).

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

20200022200 is a wasteful number, since it uses less digits than its factorization.

20200022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21457 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

Adding to 20200022200 its reverse (222000202), we get a palindrome (20422022402).

It can be divided in two parts, 2020002 and 2200, that added together give a palindrome (2022202).

The spelling of 20200022200 in words is "twenty billion, two hundred million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 281 340 425 562 680 850 1124 1405 1700 2248 2810 3400 4777 5620 7025 9554 11240 14050 19108 21143 23885 28100 38216 42286 47770 56200 84572 95540 105715 119425 169144 191080 211430 238850 359431 422860 477700 528575 718862 845720 955400 1057150 1437724 1797155 2114300 2875448 3594310 4228600 5941183 7188620 8985775 11882366 14377240 17971550 23764732 29705915 35943100 47529464 59411830 71886200 101000111 118823660 148529575 202000222 237647320 297059150 404000444 505000555 594118300 808000888 1010001110 1188236600 2020002220 2525002775 4040004440 5050005550 10100011100 20200022200