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200113200 = 24335272647
BaseRepresentation
bin10111110110101…
…11110000110000
3111221112210201000
423323113300300
5402212110300
631505042000
74646635260
oct1373276060
9457483630
10200113200
11a2a60011
1257026300
13325c69a1
141c8117a0
151287cc00
hexbed7c30

200113200 has 240 divisors, whose sum is σ = 814312960. Its totient is φ = 45722880.

The previous prime is 200113181. The next prime is 200113211. The reversal of 200113200 is 2311002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74277 + ... + 76923.

Almost surely, 2200113200 is an apocalyptic number.

200113200 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 200113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407156480).

200113200 is an abundant number, since it is smaller than the sum of its proper divisors (614199760).

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

200113200 is a wasteful number, since it uses less digits than its factorization.

200113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 200113200 is about 14146.1372819579. The cubic root of 200113200 is about 584.9138597690.

Adding to 200113200 its reverse (2311002), we get a palindrome (202424202).

The spelling of 200113200 in words is "two hundred million, one hundred thirteen thousand, two hundred".