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223245620 = 2251322572
BaseRepresentation
bin11010100111001…
…11010100110100
3120120002001102022
431103213110310
5424122324440
634052532312
75350361603
oct1523472464
9516061368
10223245620
1110501a814
1262921098
1337335b00
1421913a3a
15148ebcb5
hexd4e7534

223245620 has 54 divisors (see below), whose sum is σ = 509635602. Its totient is φ = 82108416.

The previous prime is 223245619. The next prime is 223245623. The reversal of 223245620 is 26542322.

It can be written as a sum of positive squares in 9 ways, for example, as 8271376 + 214974244 = 2876^2 + 14662^2 .

It is a super-3 number, since 3×2232456203 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 223245620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223245623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 868532 + ... + 868788.

Almost surely, 2223245620 is an apocalyptic number.

223245620 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 223245620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254817801).

223245620 is an abundant number, since it is smaller than the sum of its proper divisors (286389982).

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

223245620 is a wasteful number, since it uses less digits than its factorization.

223245620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 223245620 is about 14941.4062256536. The cubic root of 223245620 is about 606.6352591450.

Adding to 223245620 its reverse (26542322), we get a palindrome (249787942).

The spelling of 223245620 in words is "two hundred twenty-three million, two hundred forty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 257 260 338 514 676 845 1028 1285 1690 2570 3341 3380 5140 6682 13364 16705 33410 43433 66049 66820 86866 132098 173732 217165 264196 330245 434330 660490 858637 868660 1320980 1717274 3434548 4293185 8586370 11162281 17172740 22324562 44649124 55811405 111622810 223245620