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226262402442 = 23237339733337
BaseRepresentation
bin1101001010111001001…
…0100100010110001010
3210122000121121221220100
43102232102210112022
512201341133334232
6251535444310230
722226664454656
oct3225622442612
9718017557810
10226262402442
1187a5925592a
1237a269a2376
131844b25848b
14ad45d9da66
155d43dabc7c
hex34ae4a458a

226262402442 has 24 divisors (see below), whose sum is σ = 503484806916. Its totient is φ = 73382400576.

The previous prime is 226262402441. The next prime is 226262402467. The reversal of 226262402442 is 244204262622.

226262402442 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 624 + 0 + 24 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186709545801 + 39552856641 = 432099^2 + 198879^2 .

It is a junction number, because it is equal to n+sod(n) for n = 226262402397 and 226262402406.

It is not an unprimeable number, because it can be changed into a prime (226262402441) 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 11 ways as a sum of consecutive naturals, for example, 169866003 + ... + 169867334.

Almost surely, 2226262402442 is an apocalyptic number.

226262402442 is an abundant number, since it is smaller than the sum of its proper divisors (277222404474).

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

226262402442 is a wasteful number, since it uses less digits than its factorization.

226262402442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339733382 (or 339733379 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 226262402442 in words is "two hundred twenty-six billion, two hundred sixty-two million, four hundred two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 339733337 679466674 1019200011 2038400022 3057600033 6115200066 12570133469 25140266938 37710400407 75420800814 113131201221 226262402442