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10223520 = 253519259
BaseRepresentation
bin100110111111…
…111110100000
3201020102000220
4212333332200
510104123040
61003043040
7152620116
oct46777640
921212026
1010223520
11585309a
123510480
13216c528
141501ab6
15d6e2d0
hex9bffa0

10223520 has 144 divisors (see below), whose sum is σ = 34564320. Its totient is φ = 2539008.

The previous prime is 10223497. The next prime is 10223527. The reversal of 10223520 is 2532201.

It is a super-2 number, since 2×102235202 = 209040722380800, which contains 22 as substring.

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 10223520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173251 + ... + 173309.

It is an arithmetic number, because the mean of its divisors is an integer number (240030).

Almost surely, 210223520 is an apocalyptic number.

10223520 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 10223520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282160).

10223520 is an abundant number, since it is smaller than the sum of its proper divisors (24340800).

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

10223520 is a wasteful number, since it uses less digits than its factorization.

10223520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10223520 is about 3197.4239631303. The cubic root of 10223520 is about 217.0368530216.

Adding to 10223520 its reverse (2532201), we get a palindrome (12755721).

The spelling of 10223520 in words is "ten million, two hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 59 60 76 80 95 96 114 118 120 152 160 177 190 228 236 240 285 295 304 354 361 380 456 472 480 570 590 608 708 722 760 885 912 944 1083 1121 1140 1180 1416 1444 1520 1770 1805 1824 1888 2166 2242 2280 2360 2832 2888 3040 3363 3540 3610 4332 4484 4560 4720 5415 5605 5664 5776 6726 7080 7220 8664 8968 9120 9440 10830 11210 11552 13452 14160 14440 16815 17328 17936 21299 21660 22420 26904 28320 28880 33630 34656 35872 42598 43320 44840 53808 57760 63897 67260 85196 86640 89680 106495 107616 127794 134520 170392 173280 179360 212990 255588 269040 319485 340784 425980 511176 538080 638970 681568 851960 1022352 1277940 1703920 2044704 2555880 3407840 5111760 10223520