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223441400 = 235271312277
BaseRepresentation
bin11010101000101…
…11000111111000
3120120102222222102
431110113013320
5424200111100
634101042532
75352135440
oct1524270770
9516388872
10223441400
11105143916
12629b6448
13373a3c60
1421965120
1514939cd5
hexd5171f8

223441400 has 96 divisors (see below), whose sum is σ = 639438240. Its totient is φ = 70709760.

The previous prime is 223441367. The next prime is 223441411. The reversal of 223441400 is 4144322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12062 + ... + 24338.

It is an arithmetic number, because the mean of its divisors is an integer number (6660815).

Almost surely, 2223441400 is an apocalyptic number.

223441400 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 223441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319719120).

223441400 is an abundant number, since it is smaller than the sum of its proper divisors (415996840).

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

223441400 is a wasteful number, since it uses less digits than its factorization.

223441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12313 (or 12304 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 223441400 is about 14947.9563820611. The cubic root of 223441400 is about 606.8125412338.

Adding to 223441400 its reverse (4144322), we get a palindrome (227585722).

It can be divided in two parts, 2234 and 41400, that added together give a palindrome (43634).

The spelling of 223441400 in words is "two hundred twenty-three million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 12277 18200 24554 49108 61385 85939 98216 122770 159601 171878 245540 306925 319202 343756 429695 491080 613850 638404 687512 798005 859390 1117207 1227700 1276808 1596010 1718780 2148475 2234414 2455400 3192020 3437560 3990025 4296950 4468828 5586035 6384040 7980050 8593900 8937656 11172070 15960100 17187800 22344140 27930175 31920200 44688280 55860350 111720700 223441400