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10226280 = 2335312749
BaseRepresentation
bin100111000000…
…101001101000
3201020112211010
4213000221220
510104220110
61003103520
7152631141
oct47005150
921215733
1010226280
115855179
123511ba0
13217086c
141502ac8
15d70020
hex9c0a68

10226280 has 64 divisors (see below), whose sum is σ = 31680000. Its totient is φ = 2638080.

The previous prime is 10226269. The next prime is 10226309. The reversal of 10226280 is 8262201.

10226280 = T431 + T432 + ... + T520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2346 + ... + 5094.

It is an arithmetic number, because the mean of its divisors is an integer number (495000).

Almost surely, 210226280 is an apocalyptic number.

10226280 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 10226280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15840000).

10226280 is an abundant number, since it is smaller than the sum of its proper divisors (21453720).

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

10226280 is a wasteful number, since it uses less digits than its factorization.

10226280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 10226280 is about 3197.8555314460. The cubic root of 10226280 is about 217.0563821015.

Adding to 10226280 its reverse (8262201), we get a palindrome (18488481).

The spelling of 10226280 in words is "ten million, two hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 2749 3720 5498 8247 10996 13745 16494 21992 27490 32988 41235 54980 65976 82470 85219 109960 164940 170438 255657 329880 340876 426095 511314 681752 852190 1022628 1278285 1704380 2045256 2556570 3408760 5113140 10226280