Search a number
-
+
221200120022220 = 223351812263148353
BaseRepresentation
bin110010010010111000101010…
…100101000000010011001100
31002000012112011200122102202000
4302102320222211000103030
5212443120321211202340
62102241533212432300
764410116116245453
oct6222705245002314
91060175150572660
10221200120022220
1164532498093999
1220986094778690
13965710a991681
143c8a2002cdb9a
151a88dc941cd30
hexc92e2a9404cc

221200120022220 has 96 divisors (see below), whose sum is σ = 691980240719040. Its totient is φ = 58660805283840.

The previous prime is 221200120022107. The next prime is 221200120022279. The reversal of 221200120022220 is 22220021002122.

221200120022220 is a `hidden beast` number, since 2 + 21 + 200 + 1 + 200 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221200120022193 and 221200120022202.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1131476437 + ... + 1131671916.

It is an arithmetic number, because the mean of its divisors is an integer number (7208127507490).

Almost surely, 2221200120022220 is an apocalyptic number.

221200120022220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200120022220 is an abundant number, since it is smaller than the sum of its proper divisors (470780120696820).

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

221200120022220 is a wasteful number, since it uses less digits than its factorization.

221200120022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2263148552 (or 2263148544 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 221200120022220 its reverse (22220021002122), we get a palindrome (243420141024342).

The spelling of 221200120022220 in words is "two hundred twenty-one trillion, two hundred billion, one hundred twenty million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 181 270 362 540 543 724 905 1086 1629 1810 2172 2715 3258 3620 4887 5430 6516 8145 9774 10860 16290 19548 24435 32580 48870 97740 2263148353 4526296706 6789445059 9052593412 11315741765 13578890118 20368335177 22631483530 27157780236 33947225295 40736670354 45262967060 61105005531 67894450590 81473340708 101841675885 122210011062 135788901180 203683351770 244420022124 305525027655 407366703540 409629851893 611050055310 819259703786 1222100110620 1228889555679 1638519407572 2048149259465 2457779111358 3686668667037 4096298518930 4915558222716 6144447778395 7373337334074 8192597037860 11060006001111 12288895556790 14746674668148 18433343335185 22120012002222 24577791113580 36866686670370 44240024004444 55300030005555 73733373340740 110600060011110 221200120022220