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220032001 = 7273137449
BaseRepresentation
bin11010001110101…
…10110000000001
3120100000210011101
431013112300001
5422312011001
633500014401
75311145500
oct1507266001
9510023141
10220032001
11103225332
1261831401
133677c167
1421318837
15144b4a01
hexd1d6c01

220032001 has 24 divisors (see below), whose sum is σ = 261937800. Its totient is φ = 184246272.

The previous prime is 220031993. The next prime is 220032011. The reversal of 220032001 is 100230022.

It can be written as a sum of positive squares in 4 ways, for example, as 55577025 + 164454976 = 7455^2 + 12824^2 .

It is not a de Polignac number, because 220032001 - 23 = 220031993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220032011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489825 + ... + 490273.

It is an arithmetic number, because the mean of its divisors is an integer number (10914075).

Almost surely, 2220032001 is an apocalyptic number.

It is an amenable number.

220032001 is a deficient number, since it is larger than the sum of its proper divisors (41905799).

220032001 is a wasteful number, since it uses less digits than its factorization.

220032001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 220032001 is about 14833.4756884555. The cubic root of 220032001 is about 603.7103425607.

Adding to 220032001 its reverse (100230022), we get a palindrome (320262023).

The spelling of 220032001 in words is "two hundred twenty million, thirty-two thousand, one".

Divisors: 1 7 49 73 137 449 511 959 3143 3577 6713 10001 22001 32777 61513 70007 229439 430591 490049 1606073 3014137 4490449 31433143 220032001