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200082200 = 23522693719
BaseRepresentation
bin10111110110100…
…00001100011000
3111221111020011212
423323100030120
5402210112300
631504242252
74646446013
oct1373201430
9457436155
10200082200
11a2a3979a
1257010388
13325b5846
141c80437a
1512873935
hexbed0318

200082200 has 48 divisors (see below), whose sum is σ = 467046000. Its totient is φ = 79713920.

The previous prime is 200082193. The next prime is 200082229. The reversal of 200082200 is 2280002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51941 + ... + 55659.

It is an arithmetic number, because the mean of its divisors is an integer number (9730125).

Almost surely, 2200082200 is an apocalyptic number.

200082200 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 200082200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233523000).

200082200 is an abundant number, since it is smaller than the sum of its proper divisors (266963800).

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

200082200 is a wasteful number, since it uses less digits than its factorization.

200082200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 200082200 is about 14145.0415340500. The cubic root of 200082200 is about 584.8836547549.

The spelling of 200082200 in words is "two hundred million, eighty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 3719 5380 6725 7438 10760 13450 14876 18595 26900 29752 37190 53800 74380 92975 148760 185950 371900 743800 1000411 2000822 4001644 5002055 8003288 10004110 20008220 25010275 40016440 50020550 100041100 200082200