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220625987912 = 231123124872
BaseRepresentation
bin1100110101111001010…
…1010110100101001000
3210002110210201102201122
43031132111112211020
512103320223103122
6245204300334412
721640213645361
oct3153625264510
9702423642648
10220625987912
1185626689200
1236913244408
1317a605c1455
14a96d596b68
155b14143142
hex335e556948

220625987912 has 108 divisors (see below), whose sum is σ = 470806834995. Its totient is φ = 96850274400.

The previous prime is 220625987909. The next prime is 220625987929. The reversal of 220625987912 is 219789526022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220625987912 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 110312993956 + 110312993956 = 332134^2 + 332134^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=332134.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 453030533 + ... + 453031019.

Almost surely, 2220625987912 is an apocalyptic number.

220625987912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220625987912

220625987912 is an abundant number, since it is smaller than the sum of its proper divisors (250180847083).

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

220625987912 is an equidigital number, since it uses as much as digits as its factorization.

220625987912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 220625987912 in words is "two hundred twenty billion, six hundred twenty-five million, nine hundred eighty-seven thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 487 682 961 968 974 1364 1922 1948 2728 3751 3844 3896 5357 7502 7688 10571 10714 15004 15097 21142 21428 30008 30194 42284 42856 58927 60388 84568 116281 117854 120776 166067 232562 235708 237169 332134 465124 468007 471416 474338 664268 930248 936014 948676 1328536 1826737 1872028 1897352 2608859 3653474 3744056 5148077 5217718 7306948 7352239 10296154 10435436 14613896 14704478 20592308 20870872 28697449 29408956 41184616 56628847 57394898 58817912 80874629 113257694 114789796 161749258 226515388 227919409 229579592 323498516 453030776 455838818 646997032 889620919 911677636 1779241838 1823355272 2507113499 3558483676 5014226998 7116967352 10028453996 20056907992 27578248489 55156496978 110312993956 220625987912