Search a number
-
+
221340042155104 = 25172231824551917
BaseRepresentation
bin110010010100111010111110…
…100101100101010001100000
31002000200220100002211020212221
4302110322332211211101200
5213002413401242430404
62102430113413400424
764423201403614105
oct6224727645452140
91060626302736787
10221340042155104
116458686a523344
12209a9224339114
13966737938c042
143c92cb544caac
151a8c8683ac954
hexc94ebe965460

221340042155104 has 48 divisors (see below), whose sum is σ = 463465380002688. Its totient is φ = 103692934490112.

The previous prime is 221340042155041. The next prime is 221340042155117. The reversal of 221340042155104 is 401551240043122.

It is a super-2 number, since 2×2213400421551042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 221340042155104.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 912154647 + ... + 912397270.

It is an arithmetic number, because the mean of its divisors is an integer number (9655528750056).

Almost surely, 2221340042155104 is an apocalyptic number.

It is an amenable number.

221340042155104 is an abundant number, since it is smaller than the sum of its proper divisors (242125337847584).

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

221340042155104 is a wasteful number, since it uses less digits than its factorization.

221340042155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824552167 (or 1824552159 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 221340042155104 its reverse (401551240043122), we get a palindrome (622891282198226).

The spelling of 221340042155104 in words is "two hundred twenty-one trillion, three hundred forty billion, forty-two million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 223 272 446 544 892 1784 3568 3791 7136 7582 15164 30328 60656 121312 1824551917 3649103834 7298207668 14596415336 29192830672 31017382589 58385661344 62034765178 124069530356 248139060712 406875077491 496278121424 813750154982 992556242848 1627500309964 3255000619928 6510001239856 6916876317347 13020002479712 13833752634694 27667505269388 55335010538776 110670021077552 221340042155104