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220232021 = 1926173137
BaseRepresentation
bin11010010000001…
…11100101010101
3120100101221112112
431020013211111
5422334411041
633504200405
75312640602
oct1510074525
9510357475
10220232021
11103351639
1261909105
133681c209
142136b6a9
1514503deb
hexd207955

220232021 has 24 divisors (see below), whose sum is σ = 241227864. Its totient is φ = 200931840.

The previous prime is 220232009. The next prime is 220232041. The reversal of 220232021 is 120232022.

It can be written as a sum of positive squares in 4 ways, for example, as 6195121 + 214036900 = 2489^2 + 14630^2 .

It is a de Polignac number, because none of the positive numbers 2k-220232021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220231987 and 220232005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220232041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1607465 + ... + 1607601.

It is an arithmetic number, because the mean of its divisors is an integer number (10051161).

Almost surely, 2220232021 is an apocalyptic number.

It is an amenable number.

220232021 is a deficient number, since it is larger than the sum of its proper divisors (20995843).

220232021 is a wasteful number, since it uses less digits than its factorization.

220232021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 220232021 is about 14840.2163393934. The cubic root of 220232021 is about 603.8932213695.

Adding to 220232021 its reverse (120232022), we get a palindrome (340464043).

Subtracting from 220232021 its reverse (120232022), we obtain a palindrome (99999999).

The spelling of 220232021 in words is "two hundred twenty million, two hundred thirty-two thousand, twenty-one".

Divisors: 1 19 61 73 137 361 1159 1387 2603 4453 8357 10001 22021 26353 49457 84607 158783 190019 610061 1607533 3016877 3610361 11591159 220232021