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225156435153 = 3136067951581
BaseRepresentation
bin1101000110110001011…
…1101000110011010001
3210112011112112222222220
43101230113220303101
512142110021411103
6251234015451253
722160405056356
oct3215427506321
9715145488886
10225156435153
1187540a35281
1237778526b29
1318303098670
14ac7d14a62d
155ccbc47c53
hex346c5e8cd1

225156435153 has 16 divisors (see below), whose sum is σ = 323355176256. Its totient is φ = 138534822720.

The previous prime is 225156435151. The next prime is 225156435193. The reversal of 225156435153 is 351534651522.

225156435153 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 225156435153 - 21 = 225156435151 is a prime.

It is a super-3 number, since 3×2251564351533 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (225156435151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 239178 + ... + 712403.

It is an arithmetic number, because the mean of its divisors is an integer number (20209698516).

Almost surely, 2225156435153 is an apocalyptic number.

It is an amenable number.

225156435153 is a deficient number, since it is larger than the sum of its proper divisors (98198741103).

225156435153 is a wasteful number, since it uses less digits than its factorization.

225156435153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957664.

The product of its digits is 540000, while the sum is 42.

The spelling of 225156435153 in words is "two hundred twenty-five billion, one hundred fifty-six million, four hundred thirty-five thousand, one hundred fifty-three".

Divisors: 1 3 13 39 6067 18201 78871 236613 951581 2854743 12370553 37111659 5773241927 17319725781 75052145051 225156435153