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213235300 = 225223831117
BaseRepresentation
bin11001011010110…
…11011001100100
3112212020110211201
430231123121210
5414042012200
633054212244
75166320155
oct1455333144
9485213751
10213235300
11aa402923
125b4b4084
133523c645
142046992c
1513ac0c6a
hexcb5b664

213235300 has 72 divisors (see below), whose sum is σ = 489093696. Its totient is φ = 80530560.

The previous prime is 213235291. The next prime is 213235307. The reversal of 213235300 is 3532312.

It is not an unprimeable number, because it can be changed into a prime (213235307) 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, 190342 + ... + 191458.

It is an arithmetic number, because the mean of its divisors is an integer number (6792968).

Almost surely, 2213235300 is an apocalyptic number.

213235300 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 213235300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244546848).

213235300 is an abundant number, since it is smaller than the sum of its proper divisors (275858396).

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

213235300 is a wasteful number, since it uses less digits than its factorization.

213235300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 19.

The square root of 213235300 is about 14602.5785394224. The cubic root of 213235300 is about 597.4290923832.

Adding to 213235300 its reverse (3532312), we get a palindrome (216767612).

The spelling of 213235300 in words is "two hundred thirteen million, two hundred thirty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 83 92 100 115 166 230 332 415 460 575 830 1117 1150 1660 1909 2075 2234 2300 3818 4150 4468 5585 7636 8300 9545 11170 19090 22340 25691 27925 38180 47725 51382 55850 92711 95450 102764 111700 128455 185422 190900 256910 370844 463555 513820 642275 927110 1284550 1854220 2132353 2317775 2569100 4264706 4635550 8529412 9271100 10661765 21323530 42647060 53308825 106617650 213235300