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201431296 = 2811233307
BaseRepresentation
bin11000000000110…
…01100100000000
3112001000202210101
430000121210000
5403031300141
631553212144
74664065153
oct1400314400
9461022711
10201431296
11a3780350
1257561054
1332968921
141ca75c9a
1512a3d531
hexc019900

201431296 has 72 divisors (see below), whose sum is σ = 441945504. Its totient is φ = 90869760.

The previous prime is 201431287. The next prime is 201431311. The reversal of 201431296 is 692134102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655975 + ... + 656281.

It is an arithmetic number, because the mean of its divisors is an integer number (6138132).

Almost surely, 2201431296 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 201431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220972752).

201431296 is an abundant number, since it is smaller than the sum of its proper divisors (240514208).

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

201431296 is a wasteful number, since it uses less digits than its factorization.

201431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 201431296 is about 14192.6493650763. The cubic root of 201431296 is about 586.1952779045.

Adding to 201431296 its reverse (692134102), we get a palindrome (893565398).

The spelling of 201431296 in words is "two hundred one million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 233 256 307 352 466 614 704 932 1228 1408 1864 2456 2563 2816 3377 3728 4912 5126 6754 7456 9824 10252 13508 14912 19648 20504 27016 29824 39296 41008 54032 59648 71531 78592 82016 108064 143062 164032 216128 286124 328064 432256 572248 656128 786841 864512 1144496 1573682 2288992 3147364 4577984 6294728 9155968 12589456 18311936 25178912 50357824 100715648 201431296