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10223730 = 23251123449
BaseRepresentation
bin100111000000…
…000001110010
3201020102022200
4213000001302
510104124410
61003044030
7152620536
oct47000162
921212280
1010223730
115853270
123510616
13216c65a
141501bc6
15d6e3c0
hex9c0072

10223730 has 96 divisors (see below), whose sum is σ = 30326400. Its totient is φ = 2365440.

The previous prime is 10223713. The next prime is 10223737. The reversal of 10223730 is 3732201.

It is a super-2 number, since 2×102237302 = 209049310225800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223737) 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, 22546 + ... + 22994.

It is an arithmetic number, because the mean of its divisors is an integer number (315900).

Almost surely, 210223730 is an apocalyptic number.

10223730 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 10223730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163200).

10223730 is an abundant number, since it is smaller than the sum of its proper divisors (20102670).

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

10223730 is a wasteful number, since it uses less digits than its factorization.

10223730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 10223730 is about 3197.4568018974. The cubic root of 10223730 is about 217.0383390534.

Adding to 10223730 its reverse (3732201), we get a palindrome (13955931).

It can be divided in two parts, 102 and 23730, that added together give a palindrome (23832).

The spelling of 10223730 in words is "ten million, two hundred twenty-three thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 30 33 45 46 55 66 69 90 99 110 115 138 165 198 207 230 253 330 345 414 449 495 506 690 759 898 990 1035 1265 1347 1518 2070 2245 2277 2530 2694 3795 4041 4490 4554 4939 6735 7590 8082 9878 10327 11385 13470 14817 20205 20654 22770 24695 29634 30981 40410 44451 49390 51635 61962 74085 88902 92943 103270 113597 148170 154905 185886 222255 227194 309810 340791 444510 464715 567985 681582 929430 1022373 1135970 1703955 2044746 3407910 5111865 10223730