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315225522225 = 32528811590241
BaseRepresentation
bin1001001011001001110…
…01111100000000110001
31010010122121102200202200
410211210321330000301
520131040213202400
6400451304533413
731526403505065
oct4454471740061
91103577380680
10315225522225
11111760653519
1251114481269
13239582c9a63
14113852adaa5
1582ee1beb00
hex4964e7c031

315225522225 has 36 divisors (see below), whose sum is σ = 565245157932. Its totient is φ = 167929344000.

The previous prime is 315225522191. The next prime is 315225522281. The reversal of 315225522225 is 522225522513.

315225522225 is a `hidden beast` number, since 31 + 52 + 2 + 552 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 16070125824 + 299155396401 = 126768^2 + 546951^2 .

It is not a de Polignac number, because 315225522225 - 215 = 315225489457 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 315225522225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596896 + ... + 993345.

It is an arithmetic number, because the mean of its divisors is an integer number (15701254387).

Almost surely, 2315225522225 is an apocalyptic number.

It is an amenable number.

315225522225 is a deficient number, since it is larger than the sum of its proper divisors (250019635707).

315225522225 is a wasteful number, since it uses less digits than its factorization.

315225522225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591138 (or 1591130 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The spelling of 315225522225 in words is "three hundred fifteen billion, two hundred twenty-five million, five hundred twenty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 881 2643 4405 7929 13215 22025 39645 66075 198225 1590241 4770723 7951205 14312169 23853615 39756025 71560845 119268075 357804225 1401002321 4203006963 7005011605 12609020889 21015034815 35025058025 63045104445 105075174075 315225522225