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10225525233 = 371125968207
BaseRepresentation
bin10011000010111110…
…10010000111110001
3222101122010111120210
421201133102013301
5131420213301413
64410400254333
7511253346630
oct114137220761
928348114523
1010225525233
114378051500
121b946113a9
13c6c640a61
146d00ab517
153ecaaa3c3
hex2617d21f1

10225525233 has 48 divisors (see below), whose sum is σ = 17417594880. Its totient is φ = 5221851360.

The previous prime is 10225525213. The next prime is 10225525237. The reversal of 10225525233 is 33252552201.

10225525233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10225525233 - 25 = 10225525201 is a prime.

It is a super-2 number, since 2×102255252332 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10225525233.

It is not an unprimeable number, because it can be changed into a prime (10225525237) 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 47 ways as a sum of consecutive naturals, for example, 115816 + ... + 184022.

It is an arithmetic number, because the mean of its divisors is an integer number (362866560).

Almost surely, 210225525233 is an apocalyptic number.

It is an amenable number.

10225525233 is a deficient number, since it is larger than the sum of its proper divisors (7192069647).

10225525233 is a wasteful number, since it uses less digits than its factorization.

10225525233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68298 (or 68287 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

It can be divided in two parts, 1022 and 5525233, that added together give a palindrome (5526255).

The spelling of 10225525233 in words is "ten billion, two hundred twenty-five million, five hundred twenty-five thousand, two hundred thirty-three".

Divisors: 1 3 7 11 21 33 59 77 121 177 231 363 413 649 847 1239 1947 2541 4543 7139 13629 21417 49973 68207 149919 204621 477449 750277 1432347 2250831 4024213 5251939 8253047 12072639 15755817 24759141 28169491 44266343 57771329 84508473 132799029 173313987 309864401 486929773 929593203 1460789319 3408508411 10225525233