[go: up one dir, main page]

Search a number
-
+
224070300 = 2235529221
BaseRepresentation
bin11010101101100…
…00101010011100
3120121121221200000
431112300222130
5424330222200
634122334300
75360365116
oct1526605234
9517557600
10224070300
11105533373
126305a390
133756429c
1421a8a3b6
1514a11300
hexd5b0a9c

224070300 has 108 divisors (see below), whose sum is σ = 728427336. Its totient is φ = 59745600.

The previous prime is 224070293. The next prime is 224070331. The reversal of 224070300 is 3070422.

It is a happy number.

224070300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19690 + ... + 28910.

Almost surely, 2224070300 is an apocalyptic number.

224070300 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 224070300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364213668).

224070300 is an abundant number, since it is smaller than the sum of its proper divisors (504357036).

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

224070300 is a wasteful number, since it uses less digits than its factorization.

224070300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9250 (or 9231 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 224070300 is about 14968.9779210205. The cubic root of 224070300 is about 607.3813211241.

The spelling of 224070300 in words is "two hundred twenty-four million, seventy thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 9221 12150 18442 24300 27663 36884 46105 55326 82989 92210 110652 138315 165978 184420 230525 248967 276630 331956 414945 461050 497934 553260 691575 746901 829890 922100 995868 1244835 1383150 1493802 1659780 2074725 2240703 2489670 2766300 2987604 3734505 4149450 4481406 4979340 6224175 7469010 8298900 8962812 11203515 12448350 14938020 18672525 22407030 24896700 37345050 44814060 56017575 74690100 112035150 224070300