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200466432 = 213322719
BaseRepresentation
bin10111111001011…
…10000000000000
3111222012202020200
423330232000000
5402304411212
631520405200
74652636145
oct1374560000
9458182220
10200466432
11a3181441
1257176800
13326bb6ba
141c8a43cc
15128ec6dc
hexbf2e000

200466432 has 84 divisors (see below), whose sum is σ = 579302880. Its totient is φ = 66797568.

The previous prime is 200466403. The next prime is 200466433. The reversal of 200466432 is 234664002.

It is a junction number, because it is equal to n+sod(n) for n = 200466396 and 200466405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200466433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72369 + ... + 75087.

Almost surely, 2200466432 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 200466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289651440).

200466432 is an abundant number, since it is smaller than the sum of its proper divisors (378836448).

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

200466432 is an equidigital number, since it uses as much as digits as its factorization.

200466432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 200466432 is about 14158.6168816025. The cubic root of 200466432 is about 585.2578131660.

The spelling of 200466432 in words is "two hundred million, four hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 2719 3072 4096 4608 5438 6144 8157 8192 9216 10876 12288 16314 18432 21752 24471 24576 32628 36864 43504 48942 65256 73728 87008 97884 130512 174016 195768 261024 348032 391536 522048 696064 783072 1044096 1392128 1566144 2088192 2784256 3132288 4176384 5568512 6264576 8352768 11137024 12529152 16705536 22274048 25058304 33411072 50116608 66822144 100233216 200466432