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10022250 = 235372383
BaseRepresentation
bin100110001110…
…110101101010
3200212011221110
4212032311222
510031203000
6554451150
7151121250
oct46166552
920764843
1010022250
115725957
123433ab6
1320cba34
14148c5d0
15d2e850
hex98ed6a

10022250 has 128 divisors (see below), whose sum is σ = 30191616. Its totient is φ = 2164800.

The previous prime is 10022219. The next prime is 10022251. The reversal of 10022250 is 5222001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10022251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120709 + ... + 120791.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 210022250 is an apocalyptic number.

10022250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808).

10022250 is an abundant number, since it is smaller than the sum of its proper divisors (20169366).

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

10022250 is a wasteful number, since it uses less digits than its factorization.

10022250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 10022250 is about 3165.7937393330. The cubic root of 10022250 is about 215.6031378801.

Adding to 10022250 its reverse (5222001), we get a palindrome (15244251).

The spelling of 10022250 in words is "ten million, twenty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 25 30 35 42 46 50 69 70 75 83 105 115 125 138 150 161 166 175 210 230 249 250 322 345 350 375 415 483 498 525 575 581 690 750 805 830 875 966 1050 1150 1162 1245 1610 1725 1743 1750 1909 2075 2415 2490 2625 2875 2905 3450 3486 3818 4025 4150 4830 5250 5727 5750 5810 6225 8050 8625 8715 9545 10375 11454 12075 12450 13363 14525 17250 17430 19090 20125 20750 24150 26726 28635 29050 31125 40089 40250 43575 47725 57270 60375 62250 66815 72625 80178 87150 95450 120750 133630 143175 145250 200445 217875 238625 286350 334075 400890 435750 477250 668150 715875 1002225 1431750 1670375 2004450 3340750 5011125 10022250