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225170310105 = 33513128302171
BaseRepresentation
bin1101000110110100110…
…0100100001111011001
3210112012111122220212000
43101231030210033121
512142122044410410
6251235233111213
722160634025206
oct3215514441731
9715174586760
10225170310105
1187548851784
12377810b8509
1318305c15bb0
14ac80d1ccad
155ccd088dc0
hex346d3243d9

225170310105 has 32 divisors (see below), whose sum is σ = 431095297920. Its totient is φ = 110853074880.

The previous prime is 225170310089. The next prime is 225170310139. The reversal of 225170310105 is 501013071522.

225170310105 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 225170310105 - 24 = 225170310089 is a prime.

It is a super-2 number, since 2×2251703101052 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64149331 + ... + 64152840.

It is an arithmetic number, because the mean of its divisors is an integer number (13471728060).

Almost surely, 2225170310105 is an apocalyptic number.

It is an amenable number.

225170310105 is a deficient number, since it is larger than the sum of its proper divisors (205924987815).

225170310105 is a wasteful number, since it uses less digits than its factorization.

225170310105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128302198 (or 128302192 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

Adding to 225170310105 its reverse (501013071522), we get a palindrome (726183381627).

The spelling of 225170310105 in words is "two hundred twenty-five billion, one hundred seventy million, three hundred ten thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1755 128302171 384906513 641510855 1154719539 1667928223 1924532565 3464158617 5003784669 5773597695 8339641115 15011354007 17320793085 25018923345 45034062021 75056770035 225170310105