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22835138769 = 3217229632
BaseRepresentation
bin10101010001000101…
…001001000011010001
32011221102100020111100
4111101011021003101
5333231243420034
614253524135013
71435606322412
oct252105110321
964842306440
1022835138769
119758927813
124513537469
1321cbb88b41
141168a55809
158d9ae7099
hex5511490d1

22835138769 has 27 divisors (see below), whose sum is σ = 35050291003. Its totient is φ = 14323094592.

The previous prime is 22835138747. The next prime is 22835138773. The reversal of 22835138769 is 96783153822.

The square root of 22835138769 is 151113.

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

22835138769 is a `hidden beast` number, since 228 + 35 + 1 + 387 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17778222225 + 5056916544 = 133335^2 + 71112^2 .

It is not a de Polignac number, because 22835138769 - 223 = 22826750161 is a prime.

It is a super-2 number, since 2×228351387692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22835138069) 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 26 ways as a sum of consecutive naturals, for example, 7705282 + ... + 7708244.

Almost surely, 222835138769 is an apocalyptic number.

22835138769 is the 151113-rd square number.

22835138769 is the 75557-th centered octagonal number.

It is an amenable number.

22835138769 is a deficient number, since it is larger than the sum of its proper divisors (12215152234).

22835138769 is an frugal number, since it uses more digits than its factorization.

22835138769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 2983 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

It can be divided in two parts, 22835 and 138769, that added together give a square (161604 = 4022).

The spelling of 22835138769 in words is "twenty-two billion, eight hundred thirty-five million, one hundred thirty-eight thousand, seven hundred sixty-nine".

Divisors: 1 3 9 17 51 153 289 867 2601 2963 8889 26667 50371 151113 453339 856307 2568921 7706763 8779369 26338107 79014321 149249273 447747819 1343243457 2537237641 7611712923 22835138769