Search a number
-
+
214403000 = 23537109281
BaseRepresentation
bin11001100011110…
…00011110111000
3112221102210121212
430301320132320
5414341344000
633135222252
75212252430
oct1461703670
9487383555
10214403000
11100030169
125b977988
133555aca6
14206912c0
1513c51c35
hexcc787b8

214403000 has 128 divisors (see below), whose sum is σ = 580694400. Its totient is φ = 72576000.

The previous prime is 214402961. The next prime is 214403029. The reversal of 214403000 is 304412.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762860 + ... + 763140.

It is an arithmetic number, because the mean of its divisors is an integer number (4536675).

Almost surely, 2214403000 is an apocalyptic number.

214403000 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 214403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290347200).

214403000 is an abundant number, since it is smaller than the sum of its proper divisors (366291400).

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

214403000 is a wasteful number, since it uses less digits than its factorization.

214403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 214403000 is about 14642.5066160135. The cubic root of 214403000 is about 598.5176369788.

Adding to 214403000 its reverse (304412), we get a palindrome (214707412).

The spelling of 214403000 in words is "two hundred fourteen million, four hundred three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 109 125 140 175 200 218 250 280 281 350 436 500 545 562 700 763 872 875 1000 1090 1124 1400 1405 1526 1750 1967 2180 2248 2725 2810 3052 3500 3815 3934 4360 5450 5620 6104 7000 7025 7630 7868 9835 10900 11240 13625 14050 15260 15736 19075 19670 21800 27250 28100 30520 30629 35125 38150 39340 49175 54500 56200 61258 70250 76300 78680 95375 98350 109000 122516 140500 152600 153145 190750 196700 214403 245032 245875 281000 306290 381500 393400 428806 491750 612580 763000 765725 857612 983500 1072015 1225160 1531450 1715224 1967000 2144030 3062900 3828625 4288060 5360075 6125800 7657250 8576120 10720150 15314500 21440300 26800375 30629000 42880600 53600750 107201500 214403000