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200111040 = 26335192353
BaseRepresentation
bin10111110110101…
…11001111000000
3111221112200202000
423323113033000
5402212023130
631505024000
74646626053
oct1373271700
9457480660
10200111040
11a2a59428
1257025000
13325c59cc
141c810a9a
151287c260
hexbed73c0

200111040 has 448 divisors, whose sum is σ = 790041600. Its totient is φ = 47443968.

The previous prime is 200111027. The next prime is 200111047. The reversal of 200111040 is 40111002.

It is a happy number.

200111040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200111047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3775654 + ... + 3775706.

Almost surely, 2200111040 is an apocalyptic number.

200111040 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 200111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395020800).

200111040 is an abundant number, since it is smaller than the sum of its proper divisors (589930560).

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

200111040 is a wasteful number, since it uses less digits than its factorization.

200111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 200111040 is about 14146.0609358224. The cubic root of 200111040 is about 584.9117552626.

Adding to 200111040 its reverse (40111002), we get a palindrome (240222042).

It can be divided in two parts, 2001 and 11040, that added together give a triangular number (13041 = T161).

The spelling of 200111040 in words is "two hundred million, one hundred eleven thousand, forty".