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223285400 = 235213157547
BaseRepresentation
bin11010100111100…
…01000010011000
3120120011001222122
431103301002120
5424130113100
634053440412
75350615562
oct1523610230
9516131878
10223285400
11105047698
1262940108
133734ac50
1421924332
1514908985
hexd4f1098

223285400 has 96 divisors (see below), whose sum is σ = 563661840. Its totient is φ = 81768960.

The previous prime is 223285399. The next prime is 223285409. The reversal of 223285400 is 4582322.

It is a super-3 number, since 3×2232854003 (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 223285400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223285409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407927 + ... + 408473.

Almost surely, 2223285400 is an apocalyptic number.

223285400 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 223285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281830920).

223285400 is an abundant number, since it is smaller than the sum of its proper divisors (340376440).

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

223285400 is a wasteful number, since it uses less digits than its factorization.

223285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 223285400 is about 14942.7373663596. The cubic root of 223285400 is about 606.6712889932.

The spelling of 223285400 in words is "two hundred twenty-three million, two hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 157 200 260 314 325 520 547 628 650 785 1094 1256 1300 1570 2041 2188 2600 2735 3140 3925 4082 4376 5470 6280 7111 7850 8164 10205 10940 13675 14222 15700 16328 20410 21880 27350 28444 31400 35555 40820 51025 54700 56888 71110 81640 85879 102050 109400 142220 171758 177775 204100 284440 343516 355550 408200 429395 687032 711100 858790 1116427 1422200 1717580 2146975 2232854 3435160 4293950 4465708 5582135 8587900 8931416 11164270 17175800 22328540 27910675 44657080 55821350 111642700 223285400