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10220328 = 23321931241
BaseRepresentation
bin100110111111…
…001100101000
3201020020122200
4212333030220
510104022303
61003020200
7152604606
oct46771450
921206580
1010220328
115850758
12350a660
13216ac41
141500876
15d6d3a3
hex9bf328

10220328 has 96 divisors (see below), whose sum is σ = 30201600. Its totient is φ = 3110400.

The previous prime is 10220323. The next prime is 10220339. The reversal of 10220328 is 82302201.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10220328.

It is not an unprimeable number, because it can be changed into a prime (10220323) 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 23 ways as a sum of consecutive naturals, for example, 42288 + ... + 42528.

It is an arithmetic number, because the mean of its divisors is an integer number (314600).

Almost surely, 210220328 is an apocalyptic number.

10220328 is a gapful number since it is divisible by the number (18) 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 10220328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100800).

10220328 is an abundant number, since it is smaller than the sum of its proper divisors (19981272).

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

10220328 is a wasteful number, since it uses less digits than its factorization.

10220328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10220328 is about 3196.9247723398. The cubic root of 10220328 is about 217.0142628325.

Adding to 10220328 its reverse (82302201), we get a palindrome (92522529).

The spelling of 10220328 in words is "ten million, two hundred twenty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 241 248 279 342 372 456 482 558 589 684 723 744 964 1116 1178 1368 1446 1767 1928 2169 2232 2356 2892 3534 4338 4579 4712 5301 5784 7068 7471 8676 9158 10602 13737 14136 14942 17352 18316 21204 22413 27474 29884 36632 41211 42408 44826 54948 59768 67239 82422 89652 109896 134478 141949 164844 179304 268956 283898 329688 425847 537912 567796 851694 1135592 1277541 1703388 2555082 3406776 5110164 10220328