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133314225 = 35211283571
BaseRepresentation
bin1111111001000…
…11011010110001
3100021212001201220
413330203122301
5233112023400
621121215253
73206103132
oct774433261
9307761656
10133314225
1169285a50
1238791529
1321809175
14139c3c89
15ba857a0
hex7f236b1

133314225 has 48 divisors (see below), whose sum is σ = 241722624. Its totient is φ = 64296000.

The previous prime is 133314199. The next prime is 133314227. The reversal of 133314225 is 522413331.

It is not a de Polignac number, because 133314225 - 217 = 133183153 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 133314195 and 133314204.

It is not an unprimeable number, because it can be changed into a prime (133314227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233190 + ... + 233760.

It is an arithmetic number, because the mean of its divisors is an integer number (5035888).

Almost surely, 2133314225 is an apocalyptic number.

133314225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133314225 is a deficient number, since it is larger than the sum of its proper divisors (108408399).

133314225 is a wasteful number, since it uses less digits than its factorization.

133314225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 873 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 133314225 is about 11546.1779390411. The cubic root of 133314225 is about 510.8485489363.

Adding to 133314225 its reverse (522413331), we get a palindrome (655727556).

The spelling of 133314225 in words is "one hundred thirty-three million, three hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 283 571 825 849 1415 1713 2855 3113 4245 6281 7075 8565 9339 14275 15565 18843 21225 31405 42825 46695 77825 94215 157025 161593 233475 471075 484779 807965 1777523 2423895 4039825 5332569 8887615 12119475 26662845 44438075 133314225