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201220332200 = 235219376714057
BaseRepresentation
bin1011101101100110101…
…0101001101010101000
3201020101101112222120022
42323121222221222220
511244044401112300
6232234522020012
720352266413556
oct2733152515250
9636341488508
10201220332200
11783786a4908
1232bb8347608
1315c8a0b2034
149a4c1c4bd6
15537a679285
hex2ed9aa9aa8

201220332200 has 96 divisors (see below), whose sum is σ = 492626059200. Its totient is φ = 76226250240.

The previous prime is 201220332169. The next prime is 201220332239. The reversal of 201220332200 is 2233022102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14307572 + ... + 14321628.

It is an arithmetic number, because the mean of its divisors is an integer number (5131521450).

Almost surely, 2201220332200 is an apocalyptic number.

201220332200 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 201220332200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246313029600).

201220332200 is an abundant number, since it is smaller than the sum of its proper divisors (291405727000).

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

201220332200 is a wasteful number, since it uses less digits than its factorization.

201220332200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17859 (or 17850 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 201220332200 its reverse (2233022102), we get a palindrome (203453354302).

The spelling of 201220332200 in words is "two hundred one billion, two hundred twenty million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3767 3800 7534 14057 15068 18835 28114 30136 37670 56228 70285 71573 75340 94175 112456 140570 143146 150680 188350 267083 281140 286292 351425 357865 376700 534166 562280 572584 702850 715730 753400 1068332 1335415 1405700 1431460 1789325 2136664 2670830 2811400 2862920 3578650 5341660 6677075 7157300 10683320 13354150 14314600 26708300 52952719 53416600 105905438 211810876 264763595 423621752 529527190 1006101661 1059054380 1323817975 2012203322 2118108760 2647635950 4024406644 5030508305 5295271900 8048813288 10061016610 10590543800 20122033220 25152541525 40244066440 50305083050 100610166100 201220332200