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200412300 = 223521125521
BaseRepresentation
bin10111111001000…
…00110010001100
3111222002222222210
423330200302030
5402301143200
631515310420
74652322264
oct1374406214
9458088883
10200412300
11a3144800
125714b410
133269cb7a
141c88c7a4
15128db650
hexbf20c8c

200412300 has 108 divisors (see below), whose sum is σ = 637481768. Its totient is φ = 48576000.

The previous prime is 200412299. The next prime is 200412307. The reversal of 200412300 is 3214002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (200412307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33540 + ... + 39060.

Almost surely, 2200412300 is an apocalyptic number.

200412300 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 200412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318740884).

200412300 is an abundant number, since it is smaller than the sum of its proper divisors (437069468).

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

200412300 is a wasteful number, since it uses less digits than its factorization.

200412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200412300 is about 14156.7051251342. The cubic root of 200412300 is about 585.2051293198.

Adding to 200412300 its reverse (3214002), we get a palindrome (203626302).

The spelling of 200412300 in words is "two hundred million, four hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 5521 6050 7260 9075 11042 12100 16563 18150 22084 27605 33126 36300 55210 60731 66252 82815 110420 121462 138025 165630 182193 242924 276050 303655 331260 364386 414075 552100 607310 668041 728772 828150 910965 1214620 1336082 1518275 1656300 1821930 2004123 2672164 3036550 3340205 3643860 4008246 4554825 6073100 6680410 8016492 9109650 10020615 13360820 16701025 18219300 20041230 33402050 40082460 50103075 66804100 100206150 200412300