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221384370768 = 243111243733713
BaseRepresentation
bin1100111000101110001…
…0010110101001010000
3210011102122202021102120
43032023202112221100
512111343344331033
6245411431214240
721665053050201
oct3161342265120
9704378667376
10221384370768
11859857844a0
1236aa5217380
1317b517626c2
14aa021ab5a8
155b5a9e91b3
hex338b896a50

221384370768 has 80 divisors (see below), whose sum is σ = 623970081216. Its totient is φ = 67078789120.

The previous prime is 221384370761. The next prime is 221384370773. The reversal of 221384370768 is 867073483122.

It is a super-2 number, since 2×2213843707682 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221384370768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221384370761) by changing a digit.

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, 6549880 + ... + 6583592.

Almost surely, 2221384370768 is an apocalyptic number.

It is an amenable number.

221384370768 is an abundant number, since it is smaller than the sum of its proper divisors (402585710448).

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

221384370768 is a wasteful number, since it uses less digits than its factorization.

221384370768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46172 (or 46166 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 221384370768 in words is "two hundred twenty-one billion, three hundred eighty-four million, three hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 12437 24874 33713 37311 49748 67426 74622 99496 101139 134852 136807 149244 198992 202278 269704 273614 298488 370843 404556 410421 539408 547228 596976 741686 809112 820842 1094456 1112529 1483372 1618224 1641684 2188912 2225058 2966744 3283368 4450116 5933488 6566736 8900232 17800464 419288581 838577162 1257865743 1677154324 2515731486 3354308648 4612174391 5031462972 6708617296 9224348782 10062925944 13836523173 18448697564 20125851888 27673046346 36897395128 55346092692 73794790256 110692185384 221384370768