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201944064 = 210379391
BaseRepresentation
bin11000000100101…
…10110000000000
3112001222211011210
430002112300000
5403144202224
632012210120
75001332130
oct1402266000
9461884153
10201944064
11a3aa0623
1257769940
1332ab813a
141cb6aac0
1512ae0429
hexc096c00

201944064 has 88 divisors (see below), whose sum is σ = 615213568. Its totient is φ = 57692160.

The previous prime is 201944047. The next prime is 201944069. The reversal of 201944064 is 460449102.

It is not an unprimeable number, because it can be changed into a prime (201944069) 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, 16809 + ... + 26199.

Almost surely, 2201944064 is an apocalyptic number.

201944064 is a gapful number since it is divisible by the number (24) 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 201944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307606784).

201944064 is an abundant number, since it is smaller than the sum of its proper divisors (413269504).

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

201944064 is an equidigital number, since it uses as much as digits as its factorization.

201944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9421 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 201944064 is about 14210.7024456921. The cubic root of 201944064 is about 586.6922670188.

The spelling of 201944064 in words is "two hundred one million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 9391 10752 18782 21504 28173 37564 56346 65737 75128 112692 131474 150256 197211 225384 262948 300512 394422 450768 525896 601024 788844 901536 1051792 1202048 1577688 1803072 2103584 2404096 3155376 3606144 4207168 4808192 6310752 7212288 8414336 9616384 12621504 14424576 16828672 25243008 28849152 33657344 50486016 67314688 100972032 201944064