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200097728 = 2683139271
BaseRepresentation
bin10111110110100…
…11111111000000
3111221112000110222
423323103333000
5402211111403
631504442212
74646542205
oct1373237700
9457460428
10200097728
11a2a4a426
1257019368
13325bc92c
141c809cac
1512878338
hexbed3fc0

200097728 has 56 divisors (see below), whose sum is σ = 406237440. Its totient is φ = 97770240.

The previous prime is 200097713. The next prime is 200097749. The reversal of 200097728 is 827790002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 738233 + ... + 738503.

It is an arithmetic number, because the mean of its divisors is an integer number (7254240).

Almost surely, 2200097728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203118720).

200097728 is an abundant number, since it is smaller than the sum of its proper divisors (206139712).

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

200097728 is a wasteful number, since it uses less digits than its factorization.

200097728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 200097728 is about 14145.5904083216. The cubic root of 200097728 is about 584.8987849338.

The spelling of 200097728 in words is "two hundred million, ninety-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 83 139 166 271 278 332 542 556 664 1084 1112 1328 2168 2224 2656 4336 4448 5312 8672 8896 11537 17344 22493 23074 37669 44986 46148 75338 89972 92296 150676 179944 184592 301352 359888 369184 602704 719776 738368 1205408 1439552 2410816 3126527 6253054 12506108 25012216 50024432 100048864 200097728