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200084688 = 24332915971
BaseRepresentation
bin10111110110100…
…00110011010000
3111221111100121000
423323100303100
5402210202223
631504302000
74646456166
oct1373206320
9457440530
10200084688
11a2a40651
1257011900
13325b6a0b
141c805236
1512874543
hexbed0cd0

200084688 has 80 divisors (see below), whose sum is σ = 594158400. Its totient is φ = 64391040.

The previous prime is 200084683. The next prime is 200084741. The reversal of 200084688 is 886480002.

200084688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200084683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4543 + ... + 20513.

It is an arithmetic number, because the mean of its divisors is an integer number (7426980).

Almost surely, 2200084688 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 200084688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297079200).

200084688 is an abundant number, since it is smaller than the sum of its proper divisors (394073712).

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

200084688 is a wasteful number, since it uses less digits than its factorization.

200084688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16017 (or 16005 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 200084688 is about 14145.1294797891. The cubic root of 200084688 is about 584.8860790660.

The spelling of 200084688 in words is "two hundred million, eighty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 348 432 464 522 696 783 1044 1392 1566 2088 3132 4176 6264 12528 15971 31942 47913 63884 95826 127768 143739 191652 255536 287478 383304 431217 463159 574956 766608 862434 926318 1149912 1389477 1724868 1852636 2299824 2778954 3449736 3705272 4168431 5557908 6899472 7410544 8336862 11115816 12505293 16673724 22231632 25010586 33347448 50021172 66694896 100042344 200084688