Search a number
-
+
203214300 = 223523121851
BaseRepresentation
bin11000001110011…
…00110111011100
3112011101100121120
430013030313130
5404010324200
632055330540
75015202342
oct1407146734
9464340546
10203214300
11a4788a03
1258080a50
1333141363
141cdbb992
1512c919a0
hexc1ccddc

203214300 has 72 divisors (see below), whose sum is σ = 606961152. Its totient is φ = 52440000.

The previous prime is 203214251. The next prime is 203214301. The reversal of 203214300 is 3412302.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 203214300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203214301) 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, 1626 + ... + 20225.

It is an arithmetic number, because the mean of its divisors is an integer number (8430016).

Almost surely, 2203214300 is an apocalyptic number.

203214300 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 203214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303480576).

203214300 is an abundant number, since it is smaller than the sum of its proper divisors (403746852).

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

203214300 is a wasteful number, since it uses less digits than its factorization.

203214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21899 (or 21892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 203214300 is about 14255.3253207354. The cubic root of 203214300 is about 587.9198025660.

Adding to 203214300 its reverse (3412302), we get a palindrome (206626602).

The spelling of 203214300 in words is "two hundred three million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 21851 43702 65553 87404 109255 131106 218510 262212 327765 437020 546275 655530 677381 1092550 1311060 1354762 1638825 2032143 2185100 2709524 3277650 3386905 4064286 6555300 6773810 8128572 10160715 13547620 16934525 20321430 33869050 40642860 50803575 67738100 101607150 203214300