Search a number
-
+
22333808025 = 31252412
BaseRepresentation
bin10100110011001100…
…101101110110011001
32010122111000000000000
4110303030231312121
5331214423324100
614132055003213
71420311143634
oct246314556631
963574000000
1022333808025
119520941591
1243b3669509
13214c059129
14111c234c1b
158aaab9900
hex53332dd99

22333808025 has 117 divisors (see below), whose sum is σ = 42578760493. Its totient is φ = 11620843200.

The previous prime is 22333808017. The next prime is 22333808027. The reversal of 22333808025 is 52080833322.

It is a happy number.

The square root of 22333808025 is 149445.

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

22333808025 is a `hidden beast` number, since 223 + 338 + 0 + 80 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9400659849 + 12933148176 = 96957^2 + 113724^2 .

It is not a de Polignac number, because 22333808025 - 23 = 22333808017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22333808027) 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 116 ways as a sum of consecutive naturals, for example, 544727005 + ... + 544727045.

Almost surely, 222333808025 is an apocalyptic number.

22333808025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22333808025 is the 149445-th square number.

22333808025 is the 74723-rd centered octagonal number.

It is an amenable number.

22333808025 is a deficient number, since it is larger than the sum of its proper divisors (20244952468).

22333808025 is an frugal number, since it uses more digits than its factorization.

22333808025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 22333808025 by its sum of digits (36), we get a square (804017088900 = 8966702).

The spelling of 22333808025 in words is "twenty-two billion, three hundred thirty-three million, eight hundred eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 41 45 75 81 123 135 205 225 243 369 405 615 675 729 1025 1107 1215 1681 1845 2025 2187 3075 3321 3645 5043 5535 6075 6561 8405 9225 9963 10935 15129 16605 18225 19683 25215 27675 29889 32805 42025 45387 49815 54675 59049 75645 83025 89667 98415 126075 136161 149445 164025 177147 226935 249075 269001 295245 378225 408483 448335 492075 531441 680805 747225 807003 885735 1134675 1225449 1345005 1476225 2042415 2241675 2421009 2657205 3404025 3676347 4035015 4428675 6127245 6725025 7263027 10212075 11029041 12105045 13286025 18381735 20175075 21789081 30636225 33087123 36315135 55145205 60525225 91908675 99261369 108945405 165435615 181575675 275726025 297784107 496306845 544727025 827178075 893352321 1488920535 2481534225 4466761605 7444602675 22333808025