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10283220 = 22335137139
BaseRepresentation
bin100111001110…
…100011010100
3201100102221000
4213032203110
510113030340
61004223300
7153256143
oct47164324
921312830
1010283220
115893a32
12353ab30
13219075c
14151975a
15d81d30
hex9ce8d4

10283220 has 96 divisors (see below), whose sum is σ = 32457600. Its totient is φ = 2702592.

The previous prime is 10283209. The next prime is 10283239. The reversal of 10283220 is 2238201.

It is a happy number.

10283220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102832202 = 211489227136800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10283193 and 10283202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73911 + ... + 74049.

It is an arithmetic number, because the mean of its divisors is an integer number (338100).

Almost surely, 210283220 is an apocalyptic number.

10283220 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 10283220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16228800).

10283220 is an abundant number, since it is smaller than the sum of its proper divisors (22174380).

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

10283220 is a wasteful number, since it uses less digits than its factorization.

10283220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

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

The square root of 10283220 is about 3206.7460142643. The cubic root of 10283220 is about 217.4584938634.

The spelling of 10283220 in words is "ten million, two hundred eighty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 137 139 180 270 274 278 411 417 540 548 556 685 695 822 834 1233 1251 1370 1390 1644 1668 2055 2085 2466 2502 2740 2780 3699 3753 4110 4170 4932 5004 6165 6255 7398 7506 8220 8340 12330 12510 14796 15012 18495 18765 19043 24660 25020 36990 37530 38086 57129 73980 75060 76172 95215 114258 171387 190430 228516 285645 342774 380860 514161 571290 685548 856935 1028322 1142580 1713870 2056644 2570805 3427740 5141610 10283220