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221232033220 = 225113113233441
BaseRepresentation
bin1100111000001001110…
…1001110110111000100
3210011001001002201121011
43032002131032313010
512111040400030340
6245344350132004
721661223153332
oct3160235166704
9704031081534
10221232033220
1185907795aa0
1236a621b1004
1317b29025843
14a9c9c74b52
155b4c4570ea
hex338274edc4

221232033220 has 48 divisors (see below), whose sum is σ = 508452287616. Its totient is φ = 80189312000.

The previous prime is 221232033203. The next prime is 221232033227. The reversal of 221232033220 is 22330232122.

221232033220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2212320332202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221232033191 and 221232033200.

It is not an unprimeable number, because it can be changed into a prime (221232033227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548301 + ... + 1685140.

It is an arithmetic number, because the mean of its divisors is an integer number (10592755992).

Almost surely, 2221232033220 is an apocalyptic number.

221232033220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232033220 is an abundant number, since it is smaller than the sum of its proper divisors (287220254396).

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

221232033220 is a wasteful number, since it uses less digits than its factorization.

221232033220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233772 (or 3233770 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 221232033220 its reverse (22330232122), we get a palindrome (243562265342).

The spelling of 221232033220 in words is "two hundred twenty-one billion, two hundred thirty-two million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 311 622 1244 1555 3110 3421 6220 6842 13684 17105 34210 68420 3233441 6466882 12933764 16167205 32334410 35567851 64668820 71135702 142271404 177839255 355678510 711357020 1005600151 2011200302 4022400604 5028000755 10056001510 11061601661 20112003020 22123203322 44246406644 55308008305 110616016610 221232033220