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10223040 = 263523463
BaseRepresentation
bin100110111111…
…110111000000
3201020101101010
4212333313000
510104114130
61003040520
7152615532
oct46776700
921211333
1010223040
1158527a3
123510140
13216c249
141501852
15d6e0b0
hex9bfdc0

10223040 has 112 divisors (see below), whose sum is σ = 33942528. Its totient is φ = 2601984.

The previous prime is 10223029. The next prime is 10223041. The reversal of 10223040 is 4032201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21849 + ... + 22311.

Almost surely, 210223040 is an apocalyptic number.

10223040 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 10223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16971264).

10223040 is an abundant number, since it is smaller than the sum of its proper divisors (23719488).

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

10223040 is a wasteful number, since it uses less digits than its factorization.

10223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10223040 is about 3197.3489018248. The cubic root of 10223040 is about 217.0334563011.

Adding to 10223040 its reverse (4032201), we get a palindrome (14255241).

The spelling of 10223040 in words is "ten million, two hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 463 480 552 690 736 920 926 960 1104 1380 1389 1472 1840 1852 2208 2315 2760 2778 3680 3704 4416 4630 5520 5556 6945 7360 7408 9260 10649 11040 11112 13890 14816 18520 21298 22080 22224 27780 29632 31947 37040 42596 44448 53245 55560 63894 74080 85192 88896 106490 111120 127788 148160 159735 170384 212980 222240 255576 319470 340768 425960 444480 511152 638940 681536 851920 1022304 1277880 1703840 2044608 2555760 3407680 5111520 10223040