Search a number
-
+
201211944 = 23373114847
BaseRepresentation
bin10111111111001…
…00000000101000
3112000121121220020
423333210000220
5403002240234
631544400440
74662162513
oct1377440050
9460547806
10201211944
11a364056a
1257476120
13328bcb2b
141ca19d7a
15129e8549
hexbfe4028

201211944 has 32 divisors (see below), whose sum is σ = 509925120. Its totient is φ = 66151296.

The previous prime is 201211943. The next prime is 201211951. The reversal of 201211944 is 449112102.

201211944 is digitally balanced in base 3, 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 (24).

It is not an unprimeable number, because it can be changed into a prime (201211943) 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 7 ways as a sum of consecutive naturals, for example, 55672 + ... + 59175.

It is an arithmetic number, because the mean of its divisors is an integer number (15935160).

Almost surely, 2201211944 is an apocalyptic number.

201211944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201211944 is an abundant number, since it is smaller than the sum of its proper divisors (308713176).

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

201211944 is a wasteful number, since it uses less digits than its factorization.

201211944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114929 (or 114925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 201211944 is about 14184.9195979392. The cubic root of 201211944 is about 585.9824182155.

The spelling of 201211944 in words is "two hundred one million, two hundred eleven thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 73 146 219 292 438 584 876 1752 114847 229694 344541 459388 689082 918776 1378164 2756328 8383831 16767662 25151493 33535324 50302986 67070648 100605972 201211944