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34725201225 = 35211133237781
BaseRepresentation
bin100000010101110010…
…001000010101001001
310022122001120222212220
4200111302020111021
51032104122414400
623541425324253
72336344224501
oct402562102511
9108561528786
1034725201225
11137aa51a710
126891496689
13337530a860
141975c16a01
15d8389d7a0
hex815c88549

34725201225 has 48 divisors (see below), whose sum is σ = 67449474624. Its totient is φ = 15541344000.

The previous prime is 34725201223. The next prime is 34725201227. The reversal of 34725201225 is 52210252743.

It is an interprime number because it is at equal distance from previous prime (34725201223) and next prime (34725201227).

It is not a de Polignac number, because 34725201225 - 21 = 34725201223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34725201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608166 + ... + 1629615.

It is an arithmetic number, because the mean of its divisors is an integer number (1405197388).

Almost surely, 234725201225 is an apocalyptic number.

It is an amenable number.

34725201225 is a deficient number, since it is larger than the sum of its proper divisors (32724273399).

34725201225 is a wasteful number, since it uses less digits than its factorization.

34725201225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237818 (or 3237813 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

Adding to 34725201225 its reverse (52210252743), we get a palindrome (86935453968).

The spelling of 34725201225 in words is "thirty-four billion, seven hundred twenty-five million, two hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 275 325 429 715 825 975 2145 3575 10725 3237781 9713343 16188905 35615591 42091153 48566715 80944525 106846773 126273459 178077955 210455765 242833575 463002683 534233865 631367295 890389775 1052278825 1389008049 2315013415 2671169325 3156836475 6945040245 11575067075 34725201225