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225012416235 = 3537616646357
BaseRepresentation
bin1101000110001111001…
…0001111111011101011
3210111210111120002011220
43101203302033323223
512141311134304420
6251211432553123
722154005660215
oct3214362177353
9714714502156
10225012416235
1187477708782
12377382527a3
13182ac2b1c79
14ac67d7b5b5
155cbe29a840
hex3463c8feeb

225012416235 has 32 divisors (see below), whose sum is σ = 375811666752. Its totient is φ = 114849031680.

The previous prime is 225012416221. The next prime is 225012416267. The reversal of 225012416235 is 532614210522.

It is a happy number.

It is not a de Polignac number, because 225012416235 - 29 = 225012415723 is a prime.

It is a super-3 number, since 3×2250124162353 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225012416196 and 225012416205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3289324 + ... + 3357033.

It is an arithmetic number, because the mean of its divisors is an integer number (11744114586).

Almost surely, 2225012416235 is an apocalyptic number.

225012416235 is a deficient number, since it is larger than the sum of its proper divisors (150799250517).

225012416235 is a wasteful number, since it uses less digits than its factorization.

225012416235 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6646463.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 225012416235 its reverse (532614210522), we get a palindrome (757626626757).

It can be divided in two parts, 22501 and 2416235, that added together give a triangular number (2438736 = T2208).

The spelling of 225012416235 in words is "two hundred twenty-five billion, twelve million, four hundred sixteen thousand, two hundred thirty-five".

Divisors: 1 3 5 15 37 61 111 183 185 305 555 915 2257 6771 11285 33855 6646357 19939071 33231785 99695355 245915209 405427777 737745627 1216283331 1229576045 2027138885 3688728135 6081416655 15000827749 45002483247 75004138745 225012416235