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221052540 = 223523160183
BaseRepresentation
bin11010010110011…
…11111001111100
3120101221122002010
431023033321330
5423042140130
633533531220
75322626022
oct1513177174
9511848063
10221052540
11103862055
1262043b10
1336a48827
1421502712
15146170b0
hexd2cfe7c

221052540 has 48 divisors (see below), whose sum is σ = 645861888. Its totient is φ = 56384064.

The previous prime is 221052511. The next prime is 221052569. The reversal of 221052540 is 45250122.

It is a happy number.

221052540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221052511) and next prime (221052569).

It is a super-3 number, since 3×2210525403 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78712 + ... + 81471.

It is an arithmetic number, because the mean of its divisors is an integer number (13455456).

Almost surely, 2221052540 is an apocalyptic number.

221052540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221052540 is an abundant number, since it is smaller than the sum of its proper divisors (424809348).

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

221052540 is a wasteful number, since it uses less digits than its factorization.

221052540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160218 (or 160216 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 221052540 is about 14867.8357537336. The cubic root of 221052540 is about 604.6422674002.

The spelling of 221052540 in words is "two hundred twenty-one million, fifty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 160183 320366 480549 640732 800915 961098 1601830 1922196 2402745 3203660 3684209 4805490 7368418 9610980 11052627 14736836 18421045 22105254 36842090 44210508 55263135 73684180 110526270 221052540