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221031120 = 2435920963
BaseRepresentation
bin11010010110010…
…10101011010000
3120101220112200210
431023022223100
5423040443440
633533244120
75322506412
oct1513125320
9511815623
10221031120
11103847a52
1262033640
1336a3bb5b
14214d89b2
1514610a80
hexd2caad0

221031120 has 40 divisors (see below), whose sum is σ = 685197216. Its totient is φ = 58941568.

The previous prime is 221031119. The next prime is 221031143. The reversal of 221031120 is 21130122.

221031120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 221031096 and 221031105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460242 + ... + 460721.

Almost surely, 2221031120 is an apocalyptic number.

221031120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221031120 is an abundant number, since it is smaller than the sum of its proper divisors (464166096).

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

221031120 is a wasteful number, since it uses less digits than its factorization.

221031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920979 (or 920973 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 221031120 is about 14867.1153893417. The cubic root of 221031120 is about 604.6227368160.

Adding to 221031120 its reverse (21130122), we get a palindrome (242161242).

The spelling of 221031120 in words is "two hundred twenty-one million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 920963 1841926 2762889 3683852 4604815 5525778 7367704 9209630 11051556 13814445 14735408 18419260 22103112 27628890 36838520 44206224 55257780 73677040 110515560 221031120