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10224420 = 22352331239
BaseRepresentation
bin100111000000…
…001100100100
3201020110021020
4213000030210
510104140140
61003051140
7152622543
oct47001444
921213236
1010224420
115853838
123510ab0
13216ca6b
14150215a
15d6e6d0
hex9c0324

10224420 has 96 divisors (see below), whose sum is σ = 30965760. Its totient is φ = 2513280.

The previous prime is 10224391. The next prime is 10224433. The reversal of 10224420 is 2442201.

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 10224420.

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, 42661 + ... + 42899.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 210224420 is an apocalyptic number.

10224420 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 10224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15482880).

10224420 is an abundant number, since it is smaller than the sum of its proper divisors (20741340).

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

10224420 is a wasteful number, since it uses less digits than its factorization.

10224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 10224420 is about 3197.5646983290. The cubic root of 10224420 is about 217.0432215860.

Adding to 10224420 its reverse (2442201), we get a palindrome (12666621).

The spelling of 10224420 in words is "ten million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 239 276 310 345 372 460 465 478 620 690 713 717 930 956 1195 1380 1426 1434 1860 2139 2390 2852 2868 3565 3585 4278 4780 5497 7130 7170 7409 8556 10695 10994 14260 14340 14818 16491 21390 21988 22227 27485 29636 32982 37045 42780 44454 54970 65964 74090 82455 88908 109940 111135 148180 164910 170407 222270 329820 340814 444540 511221 681628 852035 1022442 1704070 2044884 2556105 3408140 5112210 10224420