Search a number
-
+
229674256496802 = 23313327171305551
BaseRepresentation
bin110100001110001100110100…
…011110001111100010100010
31010010012122101211110022212000
4310032030310132033202202
5220100440334130344202
62132250521414544430
766243263116640235
oct6416146436174242
91103178354408760
10229674256496802
11671aa33a219127
12219144ab968116
139b202603046b0
1440a0416c6541c
151b8454b5be91c
hexd0e33478f8a2

229674256496802 has 32 divisors (see below), whose sum is σ = 549647793327360. Its totient is φ = 70669001998800.

The previous prime is 229674256496759. The next prime is 229674256496803. The reversal of 229674256496802 is 208694652476922.

229674256496802 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 7 + 4 + 2 + 56 + 496 + 80 + 2 = 666.

It is a super-3 number, since 3×2296742564968023 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (229674256496803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163585652074 + ... + 163585653477.

It is an arithmetic number, because the mean of its divisors is an integer number (17176493541480).

Almost surely, 2229674256496802 is an apocalyptic number.

229674256496802 is an abundant number, since it is smaller than the sum of its proper divisors (319973536830558).

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

229674256496802 is a wasteful number, since it uses less digits than its factorization.

229674256496802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327171305575 (or 327171305569 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 229674256496802 in words is "two hundred twenty-nine trillion, six hundred seventy-four billion, two hundred fifty-six million, four hundred ninety-six thousand, eight hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 327171305551 654342611102 981513916653 1963027833306 2944541749959 4253226972163 5889083499918 8506453944326 8833625249877 12759680916489 17667250499754 25519361832978 38279042749467 76558085498934 114837128248401 229674256496802