Search a number
-
+
422223303322224 = 243221113896238261
BaseRepresentation
bin110000000000000101000011…
…0000000101010101001110000
32001100222011010222011120201100
41200000022012000222221300
5420320201311122302344
64053554412515204400
7154635425030253255
oct14000120600525160
92040864128146640
10422223303322224
111125959964285a8
123b431855ba6700
1315179643266181
147639a0732142c
1533c2ee518e569
hex180028602aa70

422223303322224 has 60 divisors (see below), whose sum is σ = 1187239012152232. Its totient is φ = 140074081660800.

The previous prime is 422223303322217. The next prime is 422223303322259.

It is a happy number.

422223303322224 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 2 + 3 + 303 + 322 + 2 + 24 = 666.

422223303322224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6948088747 + ... + 6948149514.

Almost surely, 2422223303322224 is an apocalyptic number.

It is an amenable number.

422223303322224 is an abundant number, since it is smaller than the sum of its proper divisors (765015708830008).

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

422223303322224 is a wasteful number, since it uses less digits than its factorization.

422223303322224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13896238486 (or 13896238477 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 42222330 and 3322224, that added together give a palindrome (45544554).

The spelling of 422223303322224 in words is "four hundred twenty-two trillion, two hundred twenty-three billion, three hundred three million, three hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1688 1899 2532 3376 3798 5064 7596 10128 15192 30384 13896238261 27792476522 41688714783 55584953044 83377429566 111169906088 125066144349 166754859132 222339812176 250132288698 333509718264 500264577396 667019436528 1000529154792 2001058309584 2932106273071 5864212546142 8796318819213 11728425092284 17592637638426 23456850184568 26388956457639 35185275276852 46913700369136 52777912915278 70370550553704 105555825830556 140741101107408 211111651661112 422223303322224