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10227204 = 2232132412
BaseRepresentation
bin100111000000…
…111000000100
3201020121002100
4213000320010
510104232304
61003112100
7152633631
oct47007004
921217070
1010227204
115855939
123512630
132171100
141503188
15d70439
hex9c0e04

10227204 has 81 divisors (see below), whose sum is σ = 28693119. Its totient is φ = 3070080.

The previous prime is 10227193. The next prime is 10227209. The reversal of 10227204 is 40272201.

The square root of 10227204 is 3198.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6812100 + 3415104 = 2610^2 + 1848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10227209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249424 + ... + 249464.

Almost surely, 210227204 is an apocalyptic number.

10227204 is the 3198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10227204

10227204 is an abundant number, since it is smaller than the sum of its proper divisors (18465915).

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

10227204 is a wasteful number, since it uses less digits than its factorization.

10227204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The cubic root of 10227204 is about 217.0629193127.

Adding to 10227204 its reverse (40272201), we get a palindrome (50499405).

The spelling of 10227204 in words is "ten million, two hundred twenty-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 169 234 246 338 369 468 492 507 533 676 738 1014 1066 1476 1521 1599 1681 2028 2132 3042 3198 3362 4797 5043 6084 6396 6724 6929 9594 10086 13858 15129 19188 20172 20787 21853 27716 30258 41574 43706 60516 62361 65559 83148 87412 124722 131118 196677 249444 262236 284089 393354 568178 786708 852267 1136356 1704534 2556801 3409068 5113602 10227204