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226005144336 = 243210631476463
BaseRepresentation
bin1101001001111011110…
…1001101001100010000
3210121100200112220010100
43102132331031030100
512200324304104321
6251454134332400
722220422013226
oct3223675151420
9717320486110
10226005144336
1187937015024
12379747ba100
1318409b7424a
14ad1db54b16
155d2b4e2326
hex349ef4d310

226005144336 has 60 divisors (see below), whose sum is σ = 633095951488. Its totient is φ = 75264126912.

The previous prime is 226005144311. The next prime is 226005144349. The reversal of 226005144336 is 633441500622.

226005144336 is a `hidden beast` number, since 2 + 2 + 600 + 5 + 1 + 4 + 43 + 3 + 6 = 666.

226005144336 is digitally balanced in base 2, 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 226005144336.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585160 + ... + 891303.

Almost surely, 2226005144336 is an apocalyptic number.

It is an amenable number.

226005144336 is an abundant number, since it is smaller than the sum of its proper divisors (407090807152).

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

226005144336 is a wasteful number, since it uses less digits than its factorization.

226005144336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477540 (or 1477531 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 226005144336 its reverse (633441500622), we get a palindrome (859446644958).

The spelling of 226005144336 in words is "two hundred twenty-six billion, five million, one hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1063 2126 3189 4252 6378 8504 9567 12756 17008 19134 25512 38268 51024 76536 153072 1476463 2952926 4429389 5905852 8858778 11811704 13288167 17717556 23623408 26576334 35435112 53152668 70870224 106305336 212610672 1569480169 3138960338 4708440507 6277920676 9416881014 12555841352 14125321521 18833762028 25111682704 28250643042 37667524056 56501286084 75335048112 113002572168 226005144336