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200400000 = 27355167
BaseRepresentation
bin10111111000111…
…01110010000000
3111222002101010020
423330131302000
5402300300000
631515133440
74652241363
oct1374356200
9458071106
10200400000
11a3136539
1257144280
13326973a8
141c8880da
15128d7ba0
hexbf1dc80

200400000 has 192 divisors, whose sum is σ = 669332160. Its totient is φ = 53120000.

The previous prime is 200399999. The next prime is 200400007. The reversal of 200400000 is 4002.

200400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is not an unprimeable number, because it can be changed into a prime (200400007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199917 + ... + 1200083.

It is an arithmetic number, because the mean of its divisors is an integer number (3486105).

Almost surely, 2200400000 is an apocalyptic number.

200400000 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 200400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334666080).

200400000 is an abundant number, since it is smaller than the sum of its proper divisors (468932160).

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

200400000 is an frugal number, since it uses more digits than its factorization.

200400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 200400000 is about 14156.2706953491. The cubic root of 200400000 is about 585.1931570501.

Adding to 200400000 its reverse (4002), we get a palindrome (200404002).

The spelling of 200400000 in words is "two hundred million, four hundred thousand".