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10244200 = 23521723131
BaseRepresentation
bin100111000101…
…000001101000
3201021110101211
4213011001220
510110303300
61003322504
7153034321
oct47050150
921243354
1010244200
11586768a
123520434
132178a75
141509448
15d754ba
hex9c5068

10244200 has 96 divisors (see below), whose sum is σ = 26516160. Its totient is φ = 3660800.

The previous prime is 10244141. The next prime is 10244207. The reversal of 10244200 is 244201.

It is not an unprimeable number, because it can be changed into a prime (10244207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78135 + ... + 78265.

It is an arithmetic number, because the mean of its divisors is an integer number (276210).

Almost surely, 210244200 is an apocalyptic number.

10244200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080).

10244200 is an abundant number, since it is smaller than the sum of its proper divisors (16271960).

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

10244200 is a wasteful number, since it uses less digits than its factorization.

10244200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 10244200 is about 3200.6561827225. The cubic root of 10244200 is about 217.1830942122.

Adding to 10244200 its reverse (244201), we get a palindrome (10488401).

Subtracting from 10244200 its reverse (244201), we obtain a palindrome (9999999).

The spelling of 10244200 in words is "ten million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 68 85 92 100 115 131 136 170 184 200 230 262 340 391 425 460 524 575 655 680 782 850 920 1048 1150 1310 1564 1700 1955 2227 2300 2620 3013 3128 3275 3400 3910 4454 4600 5240 6026 6550 7820 8908 9775 11135 12052 13100 15065 15640 17816 19550 22270 24104 26200 30130 39100 44540 51221 55675 60260 75325 78200 89080 102442 111350 120520 150650 204884 222700 256105 301300 409768 445400 512210 602600 1024420 1280525 2048840 2561050 5122100 10244200