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221647061071140 = 223510175614837379
BaseRepresentation
bin110010011001011000111010…
…010101110011010100100100
31002001210020210210002011100020
4302121120322111303110210
5213022431140113234030
62103223130522315140
764454320540421505
oct6231307225632444
91061706723064306
10221647061071140
1164694a997140a1
1220a38828358ab0
13968a2c73b77b3
143ca3abc832bac
151a95836d70510
hexc9963a573524

221647061071140 has 96 divisors (see below), whose sum is σ = 626839464908160. Its totient is φ = 58512924288000.

The previous prime is 221647061071127. The next prime is 221647061071141. The reversal of 221647061071140 is 41170160746122.

It is a junction number, because it is equal to n+sod(n) for n = 221647061071092 and 221647061071101.

It is not an unprimeable number, because it can be changed into a prime (221647061071141) 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 31 ways as a sum of consecutive naturals, for example, 43400971 + ... + 48238349.

It is an arithmetic number, because the mean of its divisors is an integer number (6529577759460).

Almost surely, 2221647061071140 is an apocalyptic number.

221647061071140 is a gapful number since it is divisible by the number (20) 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 221647061071140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313419732454080).

221647061071140 is an abundant number, since it is smaller than the sum of its proper divisors (405192403837020).

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

221647061071140 is a wasteful number, since it uses less digits than its factorization.

221647061071140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845053 (or 4845051 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 221647061071140 in words is "two hundred twenty-one trillion, six hundred forty-seven billion, sixty-one million, seventy-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 7561 15122 22683 30244 37805 45366 75610 90732 113415 151220 226830 453660 763661 1527322 2290983 3054644 3818305 4581966 4837379 7636610 9163932 9674758 11454915 14512137 15273220 19349516 22909830 24186895 29024274 45819660 48373790 58048548 72560685 96747580 145121370 290242740 488575279 977150558 1465725837 1954301116 2442876395 2931451674 4885752790 5862903348 7328629185 9771505580 14657258370 29314516740 36575422619 73150845238 109726267857 146301690476 182877113095 219452535714 365754226190 438905071428 548631339285 731508452380 1097262678570 2194525357140 3694117684519 7388235369038 11082353053557 14776470738076 18470588422595 22164706107114 36941176845190 44329412214228 55411765267785 73882353690380 110823530535570 221647061071140