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200099712 = 2734391187
BaseRepresentation
bin10111110110101…
…00011110000000
3111221112010012110
423323110132000
5402211142322
631504455320
74646551041
oct1373243600
9457463173
10200099712
11a2a5096a
125701a540
13325c07c7
141c80a8c8
1512878c0c
hexbed4780

200099712 has 64 divisors (see below), whose sum is σ = 533174400. Its totient is φ = 66491904.

The previous prime is 200099689. The next prime is 200099717. The reversal of 200099712 is 217990002.

200099712 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 (64).

It is a self number, because there is not a number n which added to its sum of digits gives 200099712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200099717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167983 + ... + 169169.

It is an arithmetic number, because the mean of its divisors is an integer number (8330850).

Almost surely, 2200099712 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 200099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266587200).

200099712 is an abundant number, since it is smaller than the sum of its proper divisors (333074688).

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

200099712 is a wasteful number, since it uses less digits than its factorization.

200099712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 200099712 is about 14145.6605360089. The cubic root of 200099712 is about 584.9007180482.

The spelling of 200099712 in words is "two hundred million, ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 439 878 1187 1317 1756 2374 2634 3512 3561 4748 5268 7024 7122 9496 10536 14048 14244 18992 21072 28096 28488 37984 42144 56192 56976 75968 84288 113952 151936 168576 227904 455808 521093 1042186 1563279 2084372 3126558 4168744 6253116 8337488 12506232 16674976 25012464 33349952 50024928 66699904 100049856 200099712