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10225002033 = 34297359629
BaseRepresentation
bin10011000010111010…
…10010011000110001
3222101121010220220000
421201131102120301
5131420100031113
64410341140213
7511246040361
oct114135223061
928347126800
1010225002033
114377824404
121b943ba669
13c6c4b987c
146cddb29a1
153eca05373
hex261752631

10225002033 has 40 divisors (see below), whose sum is σ = 16017810600. Its totient is φ = 6491342592.

The previous prime is 10225002031. The next prime is 10225002041. The reversal of 10225002033 is 33020052201.

It can be written as a sum of positive squares in 4 ways, for example, as 1967099904 + 8257902129 = 44352^2 + 90873^2 .

It is not a de Polignac number, because 10225002033 - 21 = 10225002031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10225001997 and 10225002015.

It is not an unprimeable number, because it can be changed into a prime (10225002031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141663 + ... + 201291.

It is an arithmetic number, because the mean of its divisors is an integer number (400445265).

Almost surely, 210225002033 is an apocalyptic number.

It is an amenable number.

10225002033 is a deficient number, since it is larger than the sum of its proper divisors (5792808567).

10225002033 is an equidigital number, since it uses as much as digits as its factorization.

10225002033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59743 (or 59734 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10225002033 its reverse (33020052201), we get a palindrome (43245054234).

The spelling of 10225002033 in words is "ten billion, two hundred twenty-five million, two thousand, thirty-three".

Divisors: 1 3 9 27 29 73 81 87 219 261 657 783 1971 2117 2349 5913 6351 19053 57159 59629 171477 178887 536661 1609983 1729241 4352917 4829949 5187723 13058751 15563169 39176253 46689507 117528759 126234593 140068521 352586277 378703779 1136111337 3408334011 10225002033