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3482770225 = 52112292372
BaseRepresentation
bin1100111110010110…
…1101101100110001
322222201110001120211
43033211231230301
524113042121400
61333331504121
7152210026024
oct31745555461
98881401524
103482770225
111527a29900
12812458041
134367160ac
142507951bb
15155b56dba
hexcf96db31

3482770225 has 81 divisors (see below), whose sum is σ = 5052724131. Its totient is φ = 2379484800.

The previous prime is 3482770223. The next prime is 3482770261. The reversal of 3482770225 is 5220772843.

The square root of 3482770225 is 59015.

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

It can be written as a sum of positive squares in 13 ways, for example, as 652955809 + 2829814416 = 25553^2 + 53196^2 .

It is not a de Polignac number, because 3482770225 - 21 = 3482770223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3482770223) 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 80 ways as a sum of consecutive naturals, for example, 94128907 + ... + 94128943.

Almost surely, 23482770225 is an apocalyptic number.

3482770225 is the 59015-th square number.

3482770225 is the 29508-th centered octagonal number.

It is an amenable number.

3482770225 is a deficient number, since it is larger than the sum of its proper divisors (1569953906).

3482770225 is a wasteful number, since it uses less digits than its factorization.

3482770225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The cubic root of 3482770225 is about 1515.7989700610.

The spelling of 3482770225 in words is "three billion, four hundred eighty-two million, seven hundred seventy thousand, two hundred twenty-five".

Divisors: 1 5 11 25 29 37 55 121 145 185 275 319 407 605 725 841 925 1073 1369 1595 2035 3025 3509 4205 4477 5365 6845 7975 9251 10175 11803 15059 17545 21025 22385 26825 31117 34225 39701 46255 59015 75295 87725 101761 111925 129833 155585 165649 198505 231275 295075 342287 376475 436711 508805 649165 777925 828245 992525 1151329 1711435 2183555 2544025 3245825 3765157 4141225 4803821 5756645 8557175 10917775 12664619 18825785 24019105 28783225 63323095 94128925 120095525 139310809 316615475 696554045 3482770225