Search a number
-
+
220516540112 = 241152310192351
BaseRepresentation
bin1100110101011111001…
…1110101111011010000
3210002012011202220120102
43031113303311323100
512103104213240422
6245145350431532
721634414443521
oct3152763657320
9702164686512
10220516540112
118557a924480
12368a26625a8
1317a43a2053b
14a95cc26848
155b09724192
hex3357cf5ed0

220516540112 has 80 divisors (see below), whose sum is σ = 467640069120. Its totient is φ = 99902448000.

The previous prime is 220516540109. The next prime is 220516540117. The reversal of 220516540112 is 211045615022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220516540117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93795737 + ... + 93798087.

It is an arithmetic number, because the mean of its divisors is an integer number (5845500864).

Almost surely, 2220516540112 is an apocalyptic number.

220516540112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220516540112 is an abundant number, since it is smaller than the sum of its proper divisors (247123529008).

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

220516540112 is a wasteful number, since it uses less digits than its factorization.

220516540112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3912 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 220516540112 in words is "two hundred twenty billion, five hundred sixteen million, five hundred forty thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 523 1019 1046 2038 2092 2351 4076 4184 4702 5753 8152 8368 9404 11209 11506 16304 18808 22418 23012 25861 37616 44836 46024 51722 89672 92048 103444 179344 206888 413776 532937 1065874 1229573 2131748 2395669 2459146 4263496 4791338 4918292 5862307 8526992 9582676 9836584 11724614 13525303 19165352 19673168 23449228 26352359 27050606 38330704 46898456 52704718 54101212 93796912 105409436 108202424 210818872 216404848 421637744 1252934887 2505869774 5011739548 10023479096 13782283757 20046958192 27564567514 55129135028 110258270056 220516540112