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221022240 = 2535460463
BaseRepresentation
bin11010010110010…
…00100000100000
3120101220002111220
431023020200200
5423040202430
633533135040
75322441465
oct1513104040
9511802456
10221022240
1110384130a
126202a480
1336a37aba
14214d566c
151460d110
hexd2c8820

221022240 has 48 divisors (see below), whose sum is σ = 696221568. Its totient is φ = 58939136.

The previous prime is 221022233. The next prime is 221022293. The reversal of 221022240 is 42220122.

221022240 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 (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229752 + ... + 230711.

It is an arithmetic number, because the mean of its divisors is an integer number (14504616).

Almost surely, 2221022240 is an apocalyptic number.

221022240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022240 is an abundant number, since it is smaller than the sum of its proper divisors (475199328).

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

221022240 is a wasteful number, since it uses less digits than its factorization.

221022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460481 (or 460473 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 221022240 is about 14866.8167406476. The cubic root of 221022240 is about 604.6146397333.

Adding to 221022240 its reverse (42220122), we get a palindrome (263242362).

It can be divided in two parts, 22102 and 2240, that added together give a palindrome (24342).

The spelling of 221022240 in words is "two hundred twenty-one million, twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 460463 920926 1381389 1841852 2302315 2762778 3683704 4604630 5525556 6906945 7367408 9209260 11051112 13813890 14734816 18418520 22102224 27627780 36837040 44204448 55255560 73674080 110511120 221022240