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22400000200 = 23522914092741
BaseRepresentation
bin10100110111001001…
…001110000011001000
32010211002112220121001
4110313021032003020
5331333400001300
614142421424344
71422043601014
oct246711160310
963732486531
1022400000200
119555241766
12441186b0b4
13215c9936b6
141126d45544
158b17e216a
hex53724e0c8

22400000200 has 96 divisors (see below), whose sum is σ = 53933769000. Its totient is φ = 8641740800.

The previous prime is 22400000159. The next prime is 22400000209. The reversal of 22400000200 is 200000422.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 704477764 + 21695522436 = 26542^2 + 147294^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22400000209) 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, 8170830 + ... + 8173570.

Almost surely, 222400000200 is an apocalyptic number.

22400000200 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 22400000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26966884500).

22400000200 is an abundant number, since it is smaller than the sum of its proper divisors (31533768800).

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

22400000200 is a wasteful number, since it uses less digits than its factorization.

22400000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4195 (or 4186 counting only the distinct ones).

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

Adding to 22400000200 its reverse (200000422), we get a palindrome (22600000622).

The spelling of 22400000200 in words is "twenty-two billion, four hundred million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1409 1450 2741 2818 2900 5482 5636 5800 7045 10964 11272 13705 14090 21928 27410 28180 35225 40861 54820 56360 68525 70450 79489 81722 109640 137050 140900 158978 163444 204305 274100 281800 317956 326888 397445 408610 548200 635912 794890 817220 1021525 1589780 1634440 1987225 2043050 3179560 3862069 3974450 4086100 7724138 7948900 8172200 15448276 15897800 19310345 30896552 38620690 77241380 96551725 112000001 154482760 193103450 224000002 386206900 448000004 560000005 772413800 896000008 1120000010 2240000020 2800000025 4480000040 5600000050 11200000100 22400000200