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9980224 = 26179173
BaseRepresentation
bin100110000100…
…100101000000
3200210001021221
4212010211000
510023331344
6553524424
7150554602
oct46044500
920701257
109980224
1156a7321
123413714
1320b5877
14147b172
15d22184
hex984940

9980224 has 28 divisors (see below), whose sum is σ = 20971764. Its totient is φ = 4696064.

The previous prime is 9980221. The next prime is 9980227. The reversal of 9980224 is 4220899.

It is an interprime number because it is at equal distance from previous prime (9980221) and next prime (9980227).

It can be written as a sum of positive squares in 2 ways, for example, as 3385600 + 6594624 = 1840^2 + 2568^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 9980224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9980221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3499 + ... + 5674.

Almost surely, 29980224 is an apocalyptic number.

It is an amenable number.

9980224 is an abundant number, since it is smaller than the sum of its proper divisors (10991540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9980224 is a wasteful number, since it uses less digits than its factorization.

9980224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 9192 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 9980224 is about 3159.1492525678. The cubic root of 9980224 is about 215.3013549456.

The spelling of 9980224 in words is "nine million, nine hundred eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 9173 18346 36692 73384 146768 155941 293536 311882 587072 623764 1247528 2495056 4990112 9980224