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201012200 = 23522234507
BaseRepresentation
bin10111111101100…
…11001111101000
3112000020110220022
423332303033220
5402424342300
631540220012
74660401254
oct1376631750
9460213808
10201012200
11a3514494
125739a608
133284cc3c
141c9a7264
15129a9285
hexbfb33e8

201012200 has 48 divisors (see below), whose sum is σ = 469553280. Its totient is φ = 80026560.

The previous prime is 201012187. The next prime is 201012221. The reversal of 201012200 is 2210102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42347 + ... + 46853.

It is an arithmetic number, because the mean of its divisors is an integer number (9782360).

Almost surely, 2201012200 is an apocalyptic number.

201012200 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 201012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234776640).

201012200 is an abundant number, since it is smaller than the sum of its proper divisors (268541080).

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

201012200 is a wasteful number, since it uses less digits than its factorization.

201012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4746 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 201012200 is about 14177.8771330549. The cubic root of 201012200 is about 585.7884515585.

Adding to 201012200 its reverse (2210102), we get a palindrome (203222302).

The spelling of 201012200 in words is "two hundred one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 223 446 892 1115 1784 2230 4460 4507 5575 8920 9014 11150 18028 22300 22535 36056 44600 45070 90140 112675 180280 225350 450700 901400 1005061 2010122 4020244 5025305 8040488 10050610 20101220 25126525 40202440 50253050 100506100 201012200