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10227300 = 2235273467
BaseRepresentation
bin100111000000…
…111001100100
3201020121012220
4213000321210
510104233200
61003112340
7152634126
oct47007144
921217186
1010227300
115855a16
1235126b0
132171175
141503216
15d704a0
hex9c0e64

10227300 has 72 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 2684160.

The previous prime is 10227299. The next prime is 10227307. The reversal of 10227300 is 372201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10227300.

It is not an unprimeable number, because it can be changed into a prime (10227307) 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, 21667 + ... + 22133.

It is an arithmetic number, because the mean of its divisors is an integer number (417508).

Almost surely, 210227300 is an apocalyptic number.

10227300 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 10227300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030288).

10227300 is an abundant number, since it is smaller than the sum of its proper divisors (19833276).

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

10227300 is a wasteful number, since it uses less digits than its factorization.

10227300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 10227300 is about 3198.0150093456. The cubic root of 10227300 is about 217.0635984809.

Adding to 10227300 its reverse (372201), we get a palindrome (10599501).

The spelling of 10227300 in words is "ten million, two hundred twenty-seven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 73 75 100 146 150 219 292 300 365 438 467 730 876 934 1095 1401 1460 1825 1868 2190 2335 2802 3650 4380 4670 5475 5604 7005 7300 9340 10950 11675 14010 21900 23350 28020 34091 35025 46700 68182 70050 102273 136364 140100 170455 204546 340910 409092 511365 681820 852275 1022730 1704550 2045460 2556825 3409100 5113650 10227300