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223103040 = 2635307757
BaseRepresentation
bin11010100110001…
…00100001000000
3120112210210211120
431103010201000
5424103244130
634045512240
75346226116
oct1523044100
9515723746
10223103040
11104a32686
1262872680
13372b5c44
14218b7ab6
15148be910
hexd4c4840

223103040 has 112 divisors (see below), whose sum is σ = 711598272. Its totient is φ = 59222016.

The previous prime is 223103029. The next prime is 223103051. The reversal of 223103040 is 40301322.

It is an interprime number because it is at equal distance from previous prime (223103029) and next prime (223103051).

It is a super-3 number, since 3×2231030403 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294342 + ... + 295098.

It is an arithmetic number, because the mean of its divisors is an integer number (6353556).

Almost surely, 2223103040 is an apocalyptic number.

223103040 is a gapful number since it is divisible by the number (20) 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 223103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355799136).

223103040 is an abundant number, since it is smaller than the sum of its proper divisors (488495232).

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

223103040 is a wasteful number, since it uses less digits than its factorization.

223103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223103040 is about 14936.6341590065. The cubic root of 223103040 is about 606.5060853148.

Adding to 223103040 its reverse (40301322), we get a palindrome (263404362).

The spelling of 223103040 in words is "two hundred twenty-three million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 307 320 480 614 757 921 960 1228 1514 1535 1842 2271 2456 3028 3070 3684 3785 4542 4605 4912 6056 6140 7368 7570 9084 9210 9824 11355 12112 12280 14736 15140 18168 18420 19648 22710 24224 24560 29472 30280 36336 36840 45420 48448 49120 58944 60560 72672 73680 90840 98240 121120 145344 147360 181680 232399 242240 294720 363360 464798 697197 726720 929596 1161995 1394394 1859192 2323990 2788788 3485985 3718384 4647980 5577576 6971970 7436768 9295960 11155152 13943940 14873536 18591920 22310304 27887880 37183840 44620608 55775760 74367680 111551520 223103040