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20032722369 = 3211242892
BaseRepresentation
bin10010101010000010…
…110001010111000001
31220201010002201220100
4102222002301113001
5312011334103434
613111454433013
71306300221252
oct225202612701
956633081810
1020032722369
11854aa49900
123a70b02769
131b733c3a9a
14d807a2b29
157c3a81699
hex4aa0b15c1

20032722369 has 27 divisors (see below), whose sum is σ = 31813273219. Its totient is φ = 12138213120.

The previous prime is 20032722343. The next prime is 20032722407. The reversal of 20032722369 is 96322723002.

The square root of 20032722369 is 141537.

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

20032722369 is a `hidden beast` number, since 20 + 0 + 3 + 272 + 2 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18854859969 + 1177862400 = 137313^2 + 34320^2 .

It is not a de Polignac number, because 20032722369 - 25 = 20032722337 is a prime.

It is a super-2 number, since 2×200327223692 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20032722169) 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, 4668577 + ... + 4672865.

Almost surely, 220032722369 is an apocalyptic number.

20032722369 is the 141537-th square number.

20032722369 is the 70769-th centered octagonal number.

It is an amenable number.

20032722369 is a deficient number, since it is larger than the sum of its proper divisors (11780550850).

20032722369 is an frugal number, since it uses more digits than its factorization.

20032722369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 20032722369 by its sum of digits (36), we get a square (721178005284 = 8492222).

The spelling of 20032722369 in words is "twenty billion, thirty-two million, seven hundred twenty-two thousand, three hundred sixty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 4289 12867 38601 47179 141537 424611 518969 1556907 4670721 18395521 55186563 165559689 202350731 607052193 1821156579 2225858041 6677574123 20032722369