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201264426 = 23411532131
BaseRepresentation
bin10111111111100…
…00110100101010
3112000201021220000
423333300310222
5403010430201
631545443430
74662501516
oct1377606452
9460637800
10201264426
11a3676a40
12574a0576
133290a99c
141ca31146
1512a08d86
hexbff0d2a

201264426 has 80 divisors (see below), whose sum is σ = 501497568. Its totient is φ = 59810400.

The previous prime is 201264409. The next prime is 201264463. The reversal of 201264426 is 624462102.

201264426 is a `hidden beast` number, since 2 + 0 + 12 + 644 + 2 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 201264426.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93381 + ... + 95511.

Almost surely, 2201264426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201264426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250748784).

201264426 is an abundant number, since it is smaller than the sum of its proper divisors (300233142).

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

201264426 is a wasteful number, since it uses less digits than its factorization.

201264426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 201264426 is about 14186.7693996907. The cubic root of 201264426 is about 586.0333609432.

The spelling of 201264426 in words is "two hundred one million, two hundred sixty-four thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 53 54 66 81 99 106 159 162 198 297 318 477 583 594 891 954 1166 1431 1749 1782 2131 2862 3498 4262 4293 5247 6393 8586 10494 12786 15741 19179 23441 31482 38358 46882 47223 57537 70323 94446 112943 115074 140646 172611 210969 225886 338829 345222 421938 632907 677658 1016487 1242373 1265814 1898721 2032974 2484746 3049461 3727119 3797442 6098922 7454238 9148383 11181357 18296766 22362714 33544071 67088142 100632213 201264426