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200201022 = 232712712511
BaseRepresentation
bin10111110111011…
…01001100111110
3111221201021011200
423323231030332
5402222413042
631511000330
74650452310
oct1373551476
9457637150
10200201022
11a300aa9a
12570690a6
1332627958
141c8357b0
1512898c4c
hexbeed33e

200201022 has 48 divisors (see below), whose sum is σ = 499679232. Its totient is φ = 56745360.

The previous prime is 200200999. The next prime is 200201041. The reversal of 200201022 is 220102002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200200995 and 200201013.

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 23 ways as a sum of consecutive naturals, for example, 9747 + ... + 22257.

It is an arithmetic number, because the mean of its divisors is an integer number (10409984).

Almost surely, 2200201022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200201022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249839616).

200201022 is an abundant number, since it is smaller than the sum of its proper divisors (299478210).

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

200201022 is a wasteful number, since it uses less digits than its factorization.

200201022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12653 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200201022 is about 14149.2410397166. The cubic root of 200201022 is about 584.9994126665. Note that the first 3 decimals are identical.

Adding to 200201022 its reverse (220102002), we get a palindrome (420303024).

The spelling of 200201022 in words is "two hundred million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2286 2667 5334 8001 12511 16002 25022 37533 75066 87577 112599 175154 225198 262731 525462 788193 1576386 1588897 3177794 4766691 9533382 11122279 14300073 22244558 28600146 33366837 66733674 100100511 200201022