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220020097969 = 7211325932
BaseRepresentation
bin1100110011101000111…
…0000100001110110001
3210000220120122000222101
43030322032010032301
512101100121113334
6245024214140401
721616205655400
oct3147216041661
9700816560871
10220020097969
1185345678111
1236784351701
1317994c129a9
14a912d19637
155acad60214
hex333a3843b1

220020097969 has 27 divisors (see below), whose sum is σ = 258662954433. Its totient is φ = 186604518912.

The previous prime is 220020097937. The next prime is 220020097987. The reversal of 220020097969 is 969790020022.

The square root of 220020097969 is 469063.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 57449857969 + 162570240000 = 239687^2 + 403200^2 .

It is not a de Polignac number, because 220020097969 - 25 = 220020097937 is a prime.

It is a super-2 number, since 2×2200200979692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220020091969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 371028537 + ... + 371029129.

Almost surely, 2220020097969 is an apocalyptic number.

220020097969 is the 469063-rd square number.

220020097969 is the 234532-nd centered octagonal number.

It is an amenable number.

220020097969 is a deficient number, since it is larger than the sum of its proper divisors (38642856464).

220020097969 is an frugal number, since it uses more digits than its factorization.

220020097969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 220020097969 in words is "two hundred twenty billion, twenty million, ninety-seven thousand, nine hundred sixty-nine".

Divisors: 1 7 49 113 593 791 4151 5537 12769 29057 67009 89383 351649 469063 625681 2461543 3283441 7572017 17230801 39736337 53004119 278154359 371028833 1947080513 4490206081 31431442567 220020097969