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10226220 = 2235414157
BaseRepresentation
bin100111000000…
…101000101100
3201020112201220
4213000220230
510104214340
61003103340
7152631024
oct47005054
921215656
1010226220
115855124
123511b50
132170824
141502a84
15d6eed0
hex9c0a2c

10226220 has 48 divisors (see below), whose sum is σ = 29338848. Its totient is φ = 2659840.

The previous prime is 10226147. The next prime is 10226221. The reversal of 10226220 is 2262201.

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 10226220.

It is not an unprimeable number, because it can be changed into a prime (10226221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382 + ... + 4538.

It is an arithmetic number, because the mean of its divisors is an integer number (611226).

Almost surely, 210226220 is an apocalyptic number.

10226220 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 10226220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669424).

10226220 is an abundant number, since it is smaller than the sum of its proper divisors (19112628).

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

10226220 is a wasteful number, since it uses less digits than its factorization.

10226220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10226220 is about 3197.8461501454. The cubic root of 10226220 is about 217.0559575936.

Adding to 10226220 its reverse (2262201), we get a palindrome (12488421).

The spelling of 10226220 in words is "ten million, two hundred twenty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4157 8314 12471 16628 20785 24942 41570 49884 62355 83140 124710 170437 249420 340874 511311 681748 852185 1022622 1704370 2045244 2556555 3408740 5113110 10226220