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220320550215232 = 26233124411977961
BaseRepresentation
bin110010000110000101100000…
…001000011101111001000000
31001220002102211221212200121221
4302012011200020131321000
5212334212441323341412
62100325510303124424
764256430423245035
oct6206054010357100
91056072757780557
10220320550215232
1164223469940535
12208637225a3714
1395c21a5a6358c
143c598003b338c
151a7109a7d6b07
hexc8616021de40

220320550215232 has 112 divisors (see below), whose sum is σ = 471116748985344. Its totient is φ = 101929817088000.

The previous prime is 220320550215191. The next prime is 220320550215253. The reversal of 220320550215232 is 232512055023022.

It is a super-2 number, since 2×2203205502152322 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110398732 + ... + 112376692.

It is an arithmetic number, because the mean of its divisors is an integer number (4206399544512).

Almost surely, 2220320550215232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220320550215232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235558374492672).

220320550215232 is an abundant number, since it is smaller than the sum of its proper divisors (250796198770112).

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

220320550215232 is a wasteful number, since it uses less digits than its factorization.

220320550215232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980468 (or 1980458 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 220320550215232 in words is "two hundred twenty trillion, three hundred twenty billion, five hundred fifty million, two hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2441 2852 4882 5704 9764 11408 19528 22816 39056 45632 56143 75671 78112 112286 151342 156224 224572 302684 449144 605368 898288 1210736 1740433 1796576 1977961 2421472 3480866 3593152 3955922 4842944 6961732 7911844 13923464 15823688 27846928 31647376 45493103 55693856 61316791 63294752 90986206 111387712 122633582 126589504 181972412 245267164 363944824 490534328 727889648 981068656 1410286193 1455779296 1962137312 2820572386 2911558592 3924274624 4828202801 5641144772 9656405602 11282289544 19312811204 22564579088 38625622408 45129158176 77251244816 90258316352 111048664423 149674286831 154502489632 222097328846 299348573662 309004979264 444194657692 598697147324 888389315384 1197394294648 1776778630768 2394788589296 3442508597113 3553557261536 4789577178592 6885017194226 7107114523072 9579154357184 13770034388452 27540068776904 55080137553808 110160275107616 220320550215232