Search a number
-
+
256222602108 = 2233111271698233
BaseRepresentation
bin1110111010100000001…
…1101010001101111100
3220111100121000210111000
43232220003222031330
513144220441231413
6313412415330300
724340302116604
oct3565003521574
9814317023430
10256222602108
1199732a85320
12417a8520990
131b2142c6885
14c589007c04
1569e9273073
hex3ba80ea37c

256222602108 has 96 divisors (see below), whose sum is σ = 730376478720. Its totient is φ = 77031803520.

The previous prime is 256222602101. The next prime is 256222602121. The reversal of 256222602108 is 801206222652.

256222602108 is a `hidden beast` number, since 2 + 5 + 622 + 2 + 6 + 0 + 21 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256222602101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698241 + ... + 999992.

It is an arithmetic number, because the mean of its divisors is an integer number (7608088320).

Almost surely, 2256222602108 is an apocalyptic number.

It is an amenable number.

256222602108 is an abundant number, since it is smaller than the sum of its proper divisors (474153876612).

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

256222602108 is a wasteful number, since it uses less digits than its factorization.

256222602108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698384 (or 1698376 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 256222602108 in words is "two hundred fifty-six billion, two hundred twenty-two million, six hundred two thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 127 132 198 254 297 381 396 508 594 762 1143 1188 1397 1524 2286 2794 3429 4191 4572 5588 6858 8382 12573 13716 16764 25146 37719 50292 75438 150876 1698233 3396466 5094699 6792932 10189398 15284097 18680563 20378796 30568194 37361126 45852291 56041689 61136388 74722252 91704582 112083378 168125067 183409164 215675591 224166756 336250134 431351182 504375201 647026773 672500268 862702364 1008750402 1294053546 1941080319 2017500804 2372431501 2588107092 3882160638 4744863002 5823240957 7117294503 7764321276 9489726004 11646481914 14234589006 21351883509 23292963828 28469178012 42703767018 64055650527 85407534036 128111301054 256222602108