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221211228760 = 2356685382723
BaseRepresentation
bin1100111000000100110…
…1110111101001011000
3210010222120221202020121
43032001031313221120
512111020033310020
6245342324203024
721660551264044
oct3160115675130
9703876852217
10221211228760
11858a6a76325
1236a57239474
1317b24920202
14a9c71bb024
155b4a6e7baa
hex3381377a58

221211228760 has 32 divisors (see below), whose sum is σ = 497738726640. Its totient is φ = 88482098304.

The previous prime is 221211228751. The next prime is 221211228767. The reversal of 221211228760 is 67822112122.

221211228760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2212112287602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211228767) by changing a digit.

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, 2632759 + ... + 2715481.

Almost surely, 2221211228760 is an apocalyptic number.

221211228760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211228760 is an abundant number, since it is smaller than the sum of its proper divisors (276527497880).

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

221211228760 is a wasteful number, since it uses less digits than its factorization.

221211228760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149587 (or 149583 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 221211228760 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 66853 82723 133706 165446 267412 330892 334265 413615 534824 661784 668530 827230 1337060 1654460 2674120 3308920 5530280719 11060561438 22121122876 27651403595 44242245752 55302807190 110605614380 221211228760