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200012000 = 2553311613
BaseRepresentation
bin10111110101111…
…11000011100000
3111221100122212212
423322333003200
5402200341000
631502541252
74646034236
oct1372770340
9457318785
10200012000
11a29a0a81
1256b97828
133258c8c6
141c7c6956
151285cc35
hexbebf0e0

200012000 has 96 divisors (see below), whose sum is σ = 507596544. Its totient is φ = 77376000.

The previous prime is 200011961. The next prime is 200012003. The reversal of 200012000 is 210002.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200012003) 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, 123194 + ... + 124806.

It is an arithmetic number, because the mean of its divisors is an integer number (5287464).

Almost surely, 2200012000 is an apocalyptic number.

200012000 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 200012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253798272).

200012000 is an abundant number, since it is smaller than the sum of its proper divisors (307584544).

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

200012000 is a wasteful number, since it uses less digits than its factorization.

200012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 200012000 is about 14142.5598814359. The cubic root of 200012000 is about 584.8152434796.

Adding to 200012000 its reverse (210002), we get a palindrome (200222002).

The spelling of 200012000 in words is "two hundred million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 125 155 160 200 248 250 310 400 496 500 620 775 800 992 1000 1240 1550 1613 2000 2480 3100 3226 3875 4000 4960 6200 6452 7750 8065 12400 12904 15500 16130 24800 25808 31000 32260 40325 50003 51616 62000 64520 80650 100006 124000 129040 161300 200012 201625 250015 258080 322600 400024 403250 500030 645200 800048 806500 1000060 1250075 1290400 1600096 1613000 2000120 2500150 3226000 4000240 5000300 6250375 6452000 8000480 10000600 12500750 20001200 25001500 40002400 50003000 100006000 200012000