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221032020 = 223511334897
BaseRepresentation
bin11010010110010…
…10111001010100
3120101220120221010
431023022321110
5423041011040
633533252220
75322512136
oct1513127124
9511816833
10221032020
111038486a0
1262034070
1336a3c3a1
14214d9056
1514610e80
hexd2cae54

221032020 has 48 divisors (see below), whose sum is σ = 675154368. Its totient is φ = 53583360.

The previous prime is 221032003. The next prime is 221032037. The reversal of 221032020 is 20230122.

221032020 is digitally balanced in base 2 and base 3, because in such bases 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 (221032003) and next prime (221032037).

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 = 221031987 and 221032005.

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, 166789 + ... + 168108.

It is an arithmetic number, because the mean of its divisors is an integer number (14065716).

Almost surely, 2221032020 is an apocalyptic number.

221032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221032020 is an abundant number, since it is smaller than the sum of its proper divisors (454122348).

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

221032020 is a wasteful number, since it uses less digits than its factorization.

221032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334920 (or 334918 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 221032020 is about 14867.1456574556. The cubic root of 221032020 is about 604.6235574542.

Adding to 221032020 its reverse (20230122), we get a palindrome (241262142).

The spelling of 221032020 in words is "two hundred twenty-one million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 334897 669794 1004691 1339588 1674485 2009382 3348970 3683867 4018764 5023455 6697940 7367734 10046910 11051601 14735468 18419335 20093820 22103202 36838670 44206404 55258005 73677340 110516010 221032020