Search a number
-
+
556224251220 = 2232511280921339
BaseRepresentation
bin10000001100000011000…
…11001000010101010100
31222011201020001121101100
420012001203020111110
533103121402014340
61103305332030100
755120520061201
oct10060143102524
91864636047340
10556224251220
111a49910a8620
128b972462330
13405b4581c91
141ccc8458ca8
15e706b5a830
hex81818c8554

556224251220 has 72 divisors (see below), whose sum is σ = 1840596619680. Its totient is φ = 134842242240.

The previous prime is 556224251203. The next prime is 556224251221. The reversal of 556224251220 is 22152422655.

556224251220 is a `hidden beast` number, since 5 + 5 + 6 + 2 + 2 + 425 + 1 + 220 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556224251221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140458690 + ... + 140462649.

It is an arithmetic number, because the mean of its divisors is an integer number (25563841940).

Almost surely, 2556224251220 is an apocalyptic number.

It is an amenable number.

556224251220 is an abundant number, since it is smaller than the sum of its proper divisors (1284372368460).

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

556224251220 is a wasteful number, since it uses less digits than its factorization.

556224251220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280921365 (or 280921360 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 556224251220 its reverse (22152422655), we get a palindrome (578376673875).

The spelling of 556224251220 in words is "five hundred fifty-six billion, two hundred twenty-four million, two hundred fifty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 280921339 561842678 842764017 1123685356 1404606695 1685528034 2528292051 2809213390 3090134729 3371056068 4213820085 5056584102 5618426780 6180269458 8427640170 9270404187 10113168204 12360538916 12641460255 15450673645 16855280340 18540808374 25282920510 27811212561 30901347290 37081616748 46352020935 50565841020 55622425122 61802694580 92704041870 111244850244 139056062805 185408083740 278112125610 556224251220