Search a number
-
+
226015561345 = 5737174529391
BaseRepresentation
bin1101001001111110010…
…0111100011010000001
3210121101102011010120111
43102133210330122001
512200334440430340
6251455145511321
722220606400430
oct3223744743201
9717342133514
10226015561345
118794198a522
12379781a2541
131840c080862
14ad212a7117
155d2c39daea
hex349f93c681

226015561345 has 16 divisors (see below), whose sum is σ = 318341611008. Its totient is φ = 150793392960.

The previous prime is 226015561339. The next prime is 226015561349. The reversal of 226015561345 is 543165510622.

226015561345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-226015561345 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 226015561298 and 226015561307.

It is not an unprimeable number, because it can be changed into a prime (226015561349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 87263401 + ... + 87265990.

It is an arithmetic number, because the mean of its divisors is an integer number (19896350688).

Almost surely, 2226015561345 is an apocalyptic number.

It is an amenable number.

226015561345 is a deficient number, since it is larger than the sum of its proper divisors (92326049663).

226015561345 is a wasteful number, since it uses less digits than its factorization.

226015561345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174529440.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 226015561345 in words is "two hundred twenty-six billion, fifteen million, five hundred sixty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 37 185 259 1295 174529391 872646955 1221705737 6108528685 6457587467 32287937335 45203112269 226015561345