Search a number
-
+
220464403360 = 2557318875377
BaseRepresentation
bin1100110101010010110…
…0111101001110100000
3210002001112200002101121
43031110230331032200
512103002341401420
6245140245142024
721633212336365
oct3152454751640
9702045602347
10220464403360
1185553454353
12368890ba914
1317a35c976a6
14a955d3446c
155b04d762aa
hex3354b3d3a0

220464403360 has 48 divisors (see below), whose sum is σ = 527982073416. Its totient is φ = 86977732608.

The previous prime is 220464403309. The next prime is 220464403381. The reversal of 220464403360 is 63304464022.

220464403360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 219837201424 + 627201936 = 468868^2 + 25044^2 .

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 7 ways as a sum of consecutive naturals, for example, 9426009 + ... + 9449368.

Almost surely, 2220464403360 is an apocalyptic number.

220464403360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220464403360 is an abundant number, since it is smaller than the sum of its proper divisors (307517670056).

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

220464403360 is a wasteful number, since it uses less digits than its factorization.

220464403360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18875465 (or 18875457 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 220464403360 its reverse (63304464022), we get a palindrome (283768867382).

The spelling of 220464403360 in words is "two hundred twenty billion, four hundred sixty-four million, four hundred three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 73 80 146 160 292 365 584 730 1168 1460 2336 2920 5840 11680 18875377 37750754 75501508 94376885 151003016 188753770 302006032 377507540 604012064 755015080 1377902521 1510030160 2755805042 3020060320 5511610084 6889512605 11023220168 13779025210 22046440336 27558050420 44092880672 55116100840 110232201680 220464403360