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221200200211200 = 2835271645834823
BaseRepresentation
bin110010010010111000101111…
…010110111001101100000000
31002000012112101021112110100020
4302102320233112321230000
5212443121002223224300
62102241545155253440
764410121111656540
oct6222705726715400
91060175337473306
10221200200211200
1164532529384081
12209860b75aa280
139657121489a82
143c8a20ac05320
151a88dd14ac8a0
hexc92e2f5b9b00

221200200211200 has 216 divisors, whose sum is σ = 834293422303488. Its totient is φ = 50560045731840.

The previous prime is 221200200211181. The next prime is 221200200211283. The reversal of 221200200211200 is 2112002002122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221200200211200.

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 23 ways as a sum of consecutive naturals, for example, 822783012 + ... + 823051811.

Almost surely, 2221200200211200 is an apocalyptic number.

221200200211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200200211200 is an abundant number, since it is smaller than the sum of its proper divisors (613093222092288).

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

221200200211200 is a wasteful number, since it uses less digits than its factorization.

221200200211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645834859 (or 1645834840 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 221200200211200 its reverse (2112002002122), we get a palindrome (223312202213322).

The spelling of 221200200211200 in words is "two hundred twenty-one trillion, two hundred billion, two hundred million, two hundred eleven thousand, two hundred".