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10226790 = 233572773
BaseRepresentation
bin100111000000…
…110001100110
3201020120112000
4213000301212
510104224130
61003110130
7152632500
oct47006146
921216460
1010226790
1158555a2
123512346
132170b72
141502d70
15d70260
hex9c0c66

10226790 has 96 divisors (see below), whose sum is σ = 31764960. Its totient is φ = 2334528.

The previous prime is 10226779. The next prime is 10226791. The reversal of 10226790 is 9762201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10226791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12844 + ... + 13616.

It is an arithmetic number, because the mean of its divisors is an integer number (330885).

Almost surely, 210226790 is an apocalyptic number.

10226790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10226790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882480).

10226790 is an abundant number, since it is smaller than the sum of its proper divisors (21538170).

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

10226790 is a wasteful number, since it uses less digits than its factorization.

10226790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10226790 is about 3197.9352713900. The cubic root of 10226790 is about 217.0599903512.

Adding to 10226790 its reverse (9762201), we get a palindrome (19988991).

The spelling of 10226790 in words is "ten million, two hundred twenty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 126 135 147 189 210 245 270 294 315 378 441 490 630 735 773 882 945 1323 1470 1546 1890 2205 2319 2646 3865 4410 4638 5411 6615 6957 7730 10822 11595 13230 13914 16233 20871 23190 27055 32466 34785 37877 41742 48699 54110 69570 75754 81165 97398 104355 113631 146097 162330 189385 208710 227262 243495 292194 340893 378770 486990 568155 681786 730485 1022679 1136310 1460970 1704465 2045358 3408930 5113395 10226790