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221120040 = 23351842667
BaseRepresentation
bin11010010111000…
…00011000101000
3120102002001200010
431023200120220
5423101320130
633535211520
75323326561
oct1513403050
9512061603
10221120040
111038a8839
1262076ba0
1336a7047b
142151d168
151462c0b0
hexd2e0628

221120040 has 32 divisors (see below), whose sum is σ = 663360480. Its totient is φ = 58965312.

The previous prime is 221120017. The next prime is 221120047. The reversal of 221120040 is 40021122.

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 = 221119998 and 221120025.

It is not an unprimeable number, because it can be changed into a prime (221120047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 921214 + ... + 921453.

It is an arithmetic number, because the mean of its divisors is an integer number (20730015).

Almost surely, 2221120040 is an apocalyptic number.

221120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221120040 is an abundant number, since it is smaller than the sum of its proper divisors (442240440).

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

221120040 is a wasteful number, since it uses less digits than its factorization.

221120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842681 (or 1842677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 221120040 is about 14870.1055813333. The cubic root of 221120040 is about 604.7038051075.

Adding to 221120040 its reverse (40021122), we get a palindrome (261141162).

The spelling of 221120040 in words is "two hundred twenty-one million, one hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1842667 3685334 5528001 7370668 9213335 11056002 14741336 18426670 22112004 27640005 36853340 44224008 55280010 73706680 110560020 221120040