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200214000 = 24325372227
BaseRepresentation
bin10111110111100…
…00010111110000
3111221201220222100
423323300113300
5402223322000
631511140400
74650535200
oct1373602760
9457656870
10200214000
11a3019818
1257074700
133263082c
141c83a400
151289ca00
hexbef05f0

200214000 has 360 divisors, whose sum is σ = 817032528. Its totient is φ = 45561600.

The previous prime is 200213989. The next prime is 200214043. The reversal of 200214000 is 412002.

It is a tau number, because it is divible by the number of its divisors (360).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 881887 + ... + 882113.

Almost surely, 2200214000 is an apocalyptic number.

200214000 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 200214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408516264).

200214000 is an abundant number, since it is smaller than the sum of its proper divisors (616818528).

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

200214000 is a wasteful number, since it uses less digits than its factorization.

200214000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200214000 is about 14149.6996434553. The cubic root of 200214000 is about 585.0120532252.

Adding to 200214000 its reverse (412002), we get a palindrome (200626002).

The spelling of 200214000 in words is "two hundred million, two hundred fourteen thousand".