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221200120 = 23517333191
BaseRepresentation
bin11010010111100…
…11111011111000
3120102020010112001
431023303323320
5423111400440
633541030344
75324112211
oct1513637370
9512203461
10221200120
11103952a19
12620b53b4
1336a9aa5b
1421540408
1514645b9a
hexd2f3ef8

221200120 has 32 divisors (see below), whose sum is σ = 498143520. Its totient is φ = 88401280.

The previous prime is 221200093. The next prime is 221200121. The reversal of 221200120 is 21002122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 221200097 and 221200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221200121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67725 + ... + 70915.

It is an arithmetic number, because the mean of its divisors is an integer number (15566985).

Almost surely, 2221200120 is an apocalyptic number.

221200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221200120 is an abundant number, since it is smaller than the sum of its proper divisors (276943400).

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

221200120 is a wasteful number, since it uses less digits than its factorization.

221200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 221200120 is about 14872.7979882738. The cubic root of 221200120 is about 604.7767953803.

Adding to 221200120 its reverse (21002122), we get a palindrome (242202242).

The spelling of 221200120 in words is "two hundred twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1733 3191 3466 6382 6932 8665 12764 13864 15955 17330 25528 31910 34660 63820 69320 127640 5530003 11060006 22120012 27650015 44240024 55300030 110600060 221200120