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200028400 = 245211132269
BaseRepresentation
bin10111110110000…
…11000011110000
3111221101111101021
423323003003300
5402201402100
631503145224
74646133115
oct1373030360
9457344337
10200028400
11a2a02330
1256ba5214
1332597200
141c7cc90c
1512862a1a
hexbec30f0

200028400 has 180 divisors, whose sum is σ = 569796120. Its totient is φ = 66892800.

The previous prime is 200028397. The next prime is 200028427. The reversal of 200028400 is 4820002.

200028400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2000284002 = 80022721613120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 743466 + ... + 743734.

It is an arithmetic number, because the mean of its divisors is an integer number (3165534).

Almost surely, 2200028400 is an apocalyptic number.

200028400 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 200028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284898060).

200028400 is an abundant number, since it is smaller than the sum of its proper divisors (369767720).

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

200028400 is a wasteful number, since it uses less digits than its factorization.

200028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 200028400 is about 14143.1396797175. The cubic root of 200028400 is about 584.8312270337.

Adding to 200028400 its reverse (4820002), we get a palindrome (204848402).

The spelling of 200028400 in words is "two hundred million, twenty-eight thousand, four hundred".