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9902250 = 23553163
BaseRepresentation
bin100101110001…
…100010101010
3200122002100000
4211301202222
510013333000
6552123430
7150111351
oct45614252
920562300
109902250
115653786
123396576
132089227
14145a998
15d09000
hex9718aa

9902250 has 96 divisors (see below), whose sum is σ = 27937728. Its totient is φ = 2624400.

The previous prime is 9902239. The next prime is 9902257. The reversal of 9902250 is 522099.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (9902257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60669 + ... + 60831.

It is an arithmetic number, because the mean of its divisors is an integer number (291018).

Almost surely, 29902250 is an apocalyptic number.

9902250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9902250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968864).

9902250 is an abundant number, since it is smaller than the sum of its proper divisors (18035478).

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

9902250 is a wasteful number, since it uses less digits than its factorization.

9902250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9902250 is about 3146.7840726685. The cubic root of 9902250 is about 214.7391825574.

It can be divided in two parts, 990 and 2250, that added together give a triangular number (3240 = T80).

The spelling of 9902250 in words is "nine million, nine hundred two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 125 135 150 162 163 225 243 250 270 326 375 405 450 486 489 675 750 810 815 978 1125 1215 1350 1467 1630 2025 2250 2430 2445 2934 3375 4050 4075 4401 4890 6075 6750 7335 8150 8802 10125 12150 12225 13203 14670 20250 20375 22005 24450 26406 30375 36675 39609 40750 44010 60750 61125 66015 73350 79218 110025 122250 132030 183375 198045 220050 330075 366750 396090 550125 660150 990225 1100250 1650375 1980450 3300750 4951125 9902250