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226144406601 = 3317492689339
BaseRepresentation
bin1101001010011101000…
…0011100110001001001
3210121201101121011001000
43102213100130301021
512201120432002401
6251520031245213
722224032511531
oct3224720346111
9717641534030
10226144406601
11879a8692903
12379b3379809
131842c983859
14ad344464c1
155d38850186
hex34a741cc49

226144406601 has 16 divisors (see below), whose sum is σ = 354736324800. Its totient is φ = 141894529344.

The previous prime is 226144406599. The next prime is 226144406651. The reversal of 226144406601 is 106604441622.

226144406601 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 4 + 4 + 40 + 6 + 601 = 666.

It is not a de Polignac number, because 226144406601 - 21 = 226144406599 is a prime.

It is a super-2 number, since 2×2261444066012 (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (226144406651) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 246344211 + ... + 246345128.

It is an arithmetic number, because the mean of its divisors is an integer number (22171020300).

Almost surely, 2226144406601 is an apocalyptic number.

It is an amenable number.

226144406601 is a deficient number, since it is larger than the sum of its proper divisors (128591918199).

226144406601 is a wasteful number, since it uses less digits than its factorization.

226144406601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492689365 (or 492689359 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 226144406601 in words is "two hundred twenty-six billion, one hundred forty-four million, four hundred six thousand, six hundred one".

Divisors: 1 3 9 17 27 51 153 459 492689339 1478068017 4434204051 8375718763 13302612153 25127156289 75381468867 226144406601