Search a number
-
+
23222212425 = 3252416913643
BaseRepresentation
bin10101101000001001…
…101101011101001001
32012221101200121201200
4111220021231131021
5340024341244200
614400152334413
71451316356136
oct255011553511
965841617650
1023222212425
1199373739a5
1246010a4409
1322611228c9
1411a421358d
1590daa5800
hex56826d749

23222212425 has 72 divisors (see below), whose sum is σ = 42681414048. Its totient is φ = 12062304000.

The previous prime is 23222212423. The next prime is 23222212459. The reversal of 23222212425 is 52421222232.

It is a happy number.

23222212425 is a `hidden beast` number, since 2 + 3 + 2 + 22 + 212 + 425 = 666.

It is not a de Polignac number, because 23222212425 - 21 = 23222212423 is a prime.

It is a super-2 number, since 2×232222124252 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23222212423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6372654 + ... + 6376296.

Almost surely, 223222212425 is an apocalyptic number.

23222212425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23222212425 is a deficient number, since it is larger than the sum of its proper divisors (19459201623).

23222212425 is a wasteful number, since it uses less digits than its factorization.

23222212425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4383 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

Adding to 23222212425 its reverse (52421222232), we get a palindrome (75643434657).

The spelling of 23222212425 in words is "twenty-three billion, two hundred twenty-two million, two hundred twelve thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 691 1025 1845 2073 3075 3455 3643 6219 9225 10365 10929 17275 18215 28331 31095 32787 51825 54645 84993 91075 141655 149363 155475 163935 254979 273225 424965 448089 708275 746815 819675 1274895 1344267 2124825 2240445 2517313 3734075 6374475 6721335 7551939 11202225 12586565 22655817 33606675 37759695 62932825 103209833 113279085 188798475 309629499 516049165 566395425 928888497 1548147495 2580245825 4644442485 7740737475 23222212425