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223244040 = 23358920903
BaseRepresentation
bin11010100111001…
…10111100001000
3120120001222020210
431103212330020
5424122302130
634052521120
75350354155
oct1523467410
9516058223
10223244040
11105019608
12629201a0
1337335186
142191322c
15148eb5b0
hexd4e6f08

223244040 has 64 divisors (see below), whose sum is σ = 677289600. Its totient is φ = 58860032.

The previous prime is 223244033. The next prime is 223244041. The reversal of 223244040 is 40442322.

223244040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2232440403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223243998 and 223244016.

It is not an unprimeable number, because it can be changed into a prime (223244041) 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, 229 + ... + 21131.

It is an arithmetic number, because the mean of its divisors is an integer number (10582650).

Almost surely, 2223244040 is an apocalyptic number.

223244040 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 223244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338644800).

223244040 is an abundant number, since it is smaller than the sum of its proper divisors (454045560).

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

223244040 is a wasteful number, since it uses less digits than its factorization.

223244040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21006 (or 21002 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 223244040 is about 14941.3533523573. The cubic root of 223244040 is about 606.6338280069.

Adding to 223244040 its reverse (40442322), we get a palindrome (263686362).

The spelling of 223244040 in words is "two hundred twenty-three million, two hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1335 1780 2136 2670 3560 5340 10680 20903 41806 62709 83612 104515 125418 167224 209030 250836 313545 418060 501672 627090 836120 1254180 1860367 2508360 3720734 5581101 7441468 9301835 11162202 14882936 18603670 22324404 27905505 37207340 44648808 55811010 74414680 111622020 223244040