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9983007225 = 325266612
BaseRepresentation
bin10010100110000100…
…01001100111111001
3221202201210022102100
421103002021213321
5130421122212400
64330334254013
7502250106222
oct112302114771
927681708370
109983007225
1142631690a4
121b27357309
13c3131aa89
146a9bbc249
153d6653100
hex2530899f9

9983007225 has 27 divisors (see below), whose sum is σ = 17883359949. Its totient is φ = 5323471200.

The previous prime is 9983007211. The next prime is 9983007289. The reversal of 9983007225 is 5227003899.

The square root of 9983007225 is 99915.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1498386681 + 8484620544 = 38709^2 + 92112^2 .

It is not a de Polignac number, because 9983007225 - 211 = 9983005177 is a prime.

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 26 ways as a sum of consecutive naturals, for example, 1495395 + ... + 1502055.

Almost surely, 29983007225 is an apocalyptic number.

9983007225 is the 99915-th square number.

9983007225 is the 49958-th centered octagonal number.

It is an amenable number.

9983007225 is a deficient number, since it is larger than the sum of its proper divisors (7900352724).

9983007225 is an frugal number, since it uses more digits than its factorization.

9983007225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13338 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 9983007225 is about 2153.2136706889.

The spelling of 9983007225 in words is "nine billion, nine hundred eighty-three million, seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 6661 19983 33305 59949 99915 166525 299745 499575 1498725 44368921 133106763 221844605 399320289 665533815 1109223025 1996601445 3327669075 9983007225