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10223067225 = 3527223311939
BaseRepresentation
bin10011000010101011…
…11010000001011001
3222101110111121211110
421201111322001121
5131414101122400
64410231450533
7511223431500
oct114125720131
928343447743
1010223067225
114376722798
121b93826a49
13c6bc90007
146cda2b837
153ec771e50
hex26157a059

10223067225 has 72 divisors (see below), whose sum is σ = 19747709280. Its totient is φ = 4652954880.

The previous prime is 10223067167. The next prime is 10223067227. The reversal of 10223067225 is 52276032201.

It is not a de Polignac number, because 10223067225 - 29 = 10223066713 is a prime.

It is a super-2 number, since 2×102230672252 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10223067192 and 10223067201.

It is not an unprimeable number, because it can be changed into a prime (10223067227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 850306 + ... + 862244.

It is an arithmetic number, because the mean of its divisors is an integer number (274273740).

Almost surely, 210223067225 is an apocalyptic number.

10223067225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10223067225 is a deficient number, since it is larger than the sum of its proper divisors (9524642055).

10223067225 is a wasteful number, since it uses less digits than its factorization.

10223067225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12199 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 10223067225 its reverse (52276032201), we get a palindrome (62499099426).

The spelling of 10223067225 in words is "ten billion, two hundred twenty-three million, sixty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 49 75 105 147 175 233 245 525 699 735 1165 1225 1631 3495 3675 4893 5825 8155 11417 11939 17475 24465 34251 35817 40775 57085 59695 83573 122325 171255 179085 250719 285425 298475 417865 585011 856275 895425 1253595 1755033 2089325 2781787 2925055 6267975 8345361 8775165 13908935 14625275 19472509 41726805 43875825 58417527 69544675 97362545 136307563 208634025 292087635 408922689 486812725 681537815 1460438175 2044613445 3407689075 10223067225