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200638944 = 25341131227
BaseRepresentation
bin10111111010110…
…00000111100000
3111222112111220000
423331120013200
5402330421234
631524220000
74654255122
oct1375300740
9458474800
10200638944
11a328a010
125723a600
133274c08c
141c90b212
1512933899
hexbf581e0

200638944 has 240 divisors, whose sum is σ = 667408896. Its totient is φ = 58579200.

The previous prime is 200638931. The next prime is 200638957. The reversal of 200638944 is 449836002.

It is a happy number.

200638944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200638931) and next prime (200638957).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 200638899 and 200638908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883759 + ... + 883985.

Almost surely, 2200638944 is an apocalyptic number.

200638944 is a gapful number since it is divisible by the number (24) 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 200638944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333704448).

200638944 is an abundant number, since it is smaller than the sum of its proper divisors (466769952).

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

200638944 is a wasteful number, since it uses less digits than its factorization.

200638944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 200638944 is about 14164.7076920069. The cubic root of 200638944 is about 585.4256468311.

The spelling of 200638944 in words is "two hundred million, six hundred thirty-eight thousand, nine hundred forty-four".