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9947070225 = 32526121092
BaseRepresentation
bin10010100001110010…
…00011111100010001
3221200020011112010100
421100321003330101
5130332422221400
64323012123013
7501332462511
oct112071037421
927606145110
109947070225
1142449530a4
121b17306469
13c26a47691
146a5105841
153d3405100
hex250e43f11

9947070225 has 81 divisors (see below), whose sum is σ = 18280867059. Its totient is φ = 5170262400.

The previous prime is 9947070197. The next prime is 9947070241. The reversal of 9947070225 is 5220707499.

The square root of 9947070225 is 99735.

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

9947070225 is a `hidden beast` number, since 99 + 470 + 70 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 9376242561 + 570827664 = 96831^2 + 23892^2 .

It is not a de Polignac number, because 9947070225 - 25 = 9947070193 is a prime.

It is a super-2 number, since 2×99470702252 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 91257471 + ... + 91257579.

Almost surely, 29947070225 is an apocalyptic number.

9947070225 is the 99735-th square number.

9947070225 is the 49868-th centered octagonal number.

It is an amenable number.

9947070225 is a deficient number, since it is larger than the sum of its proper divisors (8333796834).

9947070225 is a wasteful number, since it uses less digits than its factorization.

9947070225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The cubic root of 9947070225 is about 2150.6268390390.

The spelling of 9947070225 in words is "nine billion, nine hundred forty-seven million, seventy thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 61 75 109 183 225 305 327 545 549 915 981 1525 1635 2725 2745 3721 4575 4905 6649 8175 11163 11881 13725 18605 19947 24525 33245 33489 35643 55815 59405 59841 93025 99735 106929 166225 167445 178215 279075 297025 299205 405589 498675 534645 724741 837225 891075 1216767 1496025 2027945 2174223 2673225 3623705 3650301 6083835 6522669 10139725 10871115 18118525 18251505 30419175 32613345 44209201 54355575 91257525 132627603 163066725 221046005 397882809 663138015 1105230025 1989414045 3315690075 9947070225