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20233071049 = 103213812
BaseRepresentation
bin10010110101111111…
…000010100111001001
31221020002002111121211
4102311333002213021
5312414131233144
613143412533121
71314252160222
oct226577024711
957202074554
1020233071049
11864304a824
123b080211a1
131ba5a709b9
14d9d236249
157d6459034
hex4b5fc29c9

20233071049 has 9 divisors (see below), whose sum is σ = 20446221159. Its totient is φ = 20022124680.

The previous prime is 20233070993. The next prime is 20233071059. The reversal of 20233071049 is 94017033202.

The square root of 20233071049 is 142243.

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

It can be written as a sum of positive squares in only one way, i.e., 9195467449 + 11037603600 = 95893^2 + 105060^2 .

It is not a de Polignac number, because 20233071049 - 217 = 20232939977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20233071049.

It is not an unprimeable number, because it can be changed into a prime (20233071059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14650339 + ... + 14651719.

It is an arithmetic number, because the mean of its divisors is an integer number (2271802351).

Almost surely, 220233071049 is an apocalyptic number.

20233071049 is the 142243-rd square number.

20233071049 is the 71122-nd centered octagonal number.

It is an amenable number.

20233071049 is a deficient number, since it is larger than the sum of its proper divisors (213150110).

20233071049 is an frugal number, since it uses more digits than its factorization.

20233071049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 20233071049 in words is "twenty billion, two hundred thirty-three million, seventy-one thousand, forty-nine".

Divisors: 1 103 1381 10609 142243 1907161 14651029 196437583 20233071049