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3423184534225 = 523727321372
BaseRepresentation
bin110001110100000101101…
…100101011101011010001
3110010020211121122000101201
4301310011230223223101
5422041140220043400
611140331140431201
7502213463306251
oct61640554535321
913106747560351
103423184534225
1110aa845477865
124735296a8501
131baa6052b041
14bb97c2a1961
155e0a174e06a
hex31d05b2bad1

3423184534225 has 81 divisors (see below), whose sum is σ = 4455673742457. Its totient is φ = 2608849658880.

The previous prime is 3423184534201. The next prime is 3423184534249. The reversal of 3423184534225 is 5224354813243.

The square root of 3423184534225 is 1850185.

It is a perfect power (a square), and thus also a powerful number.

3423184534225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3423184534201) and next prime (3423184534249).

It can be written as a sum of positive squares in 40 ways, for example, as 2724061123729 + 699123410496 = 1650473^2 + 836136^2 .

It is not a de Polignac number, because 3423184534225 - 27 = 3423184534097 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24986748357 + ... + 24986748493.

Almost surely, 23423184534225 is an apocalyptic number.

3423184534225 is the 1850185-th square number.

3423184534225 is the 925093-rd centered octagonal number.

It is an amenable number.

3423184534225 is a deficient number, since it is larger than the sum of its proper divisors (1032489208232).

3423184534225 is an frugal number, since it uses more digits than its factorization.

3423184534225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 46.

The spelling of 3423184534225 in words is "three trillion, four hundred twenty-three billion, one hundred eighty-four million, five hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 25 37 73 137 185 365 685 925 1369 1825 2701 3425 5069 5329 6845 10001 13505 18769 25345 26645 34225 50005 67525 93845 99937 126725 133225 187553 197173 250025 370037 469225 499685 694453 730073 937765 985865 1370137 1850185 2498425 3472265 3650365 4688825 4929325 6850685 7295401 9250925 13691369 17361325 18251825 25694761 27012701 34253425 36477005 50695069 68456845 100020001 128473805 135063505 182385025 253475345 342284225 500100005 642369025 675317525 999469937 1267376725 1875717553 2500500025 3700740037 4997349685 9378587765 18503700185 24986748425 46892938825 92518500925 136927381369 684636906845 3423184534225