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221140200 = 23352675501
BaseRepresentation
bin11010010111001…
…01010011101000
3120102010002022210
431023211103220
5423102441300
633535445120
75323442421
oct1513452350
9512102283
10221140200
111039119a6
12620867a0
1336a796b8
1421526648
1514633050
hexd2e54e8

221140200 has 96 divisors (see below), whose sum is σ = 695892960. Its totient is φ = 58080000.

The previous prime is 221140187. The next prime is 221140223. The reversal of 221140200 is 2041122.

221140200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37450 + ... + 42950.

It is an arithmetic number, because the mean of its divisors is an integer number (7248885).

Almost surely, 2221140200 is an apocalyptic number.

221140200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347946480).

221140200 is an abundant number, since it is smaller than the sum of its proper divisors (474752760).

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

221140200 is a wasteful number, since it uses less digits than its factorization.

221140200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221140200 is about 14870.7834359861. The cubic root of 221140200 is about 604.7221819407.

Adding to 221140200 its reverse (2041122), we get a palindrome (223181322).

The spelling of 221140200 in words is "two hundred twenty-one million, one hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 67 75 100 120 134 150 200 201 268 300 335 402 536 600 670 804 1005 1340 1608 1675 2010 2680 3350 4020 5025 5501 6700 8040 10050 11002 13400 16503 20100 22004 27505 33006 40200 44008 55010 66012 82515 110020 132024 137525 165030 220040 275050 330060 368567 412575 550100 660120 737134 825150 1100200 1105701 1474268 1650300 1842835 2211402 2948536 3300600 3685670 4422804 5528505 7371340 8845608 9214175 11057010 14742680 18428350 22114020 27642525 36856700 44228040 55285050 73713400 110570100 221140200