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213245500 = 22531353619
BaseRepresentation
bin11001011010111…
…01111000111100
3112212020222211111
430231131320330
5414042324000
633054331404
75166361666
oct1455357074
9485228744
10213245500
11aa40a556
125b4b9b64
1335244190
142046d536
1513ac3cba
hexcb5de3c

213245500 has 96 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 77126400.

The previous prime is 213245449. The next prime is 213245503. The reversal of 213245500 is 5542312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213245503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344191 + ... + 344809.

It is an arithmetic number, because the mean of its divisors is an integer number (5331690).

Almost surely, 2213245500 is an apocalyptic number.

213245500 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 213245500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

213245500 is an abundant number, since it is smaller than the sum of its proper divisors (298596740).

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

213245500 is a wasteful number, since it uses less digits than its factorization.

213245500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 213245500 is about 14602.9277886320. The cubic root of 213245500 is about 597.4386181349.

Adding to 213245500 its reverse (5542312), we get a palindrome (218787812).

The spelling of 213245500 in words is "two hundred thirteen million, two hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 125 130 212 250 260 265 325 500 530 619 650 689 1060 1238 1300 1325 1378 1625 2476 2650 2756 3095 3250 3445 5300 6190 6500 6625 6890 8047 12380 13250 13780 15475 16094 17225 26500 30950 32188 32807 34450 40235 61900 65614 68900 77375 80470 86125 131228 154750 160940 164035 172250 201175 309500 328070 344500 402350 426491 656140 804700 820175 852982 1005875 1640350 1705964 2011750 2132455 3280700 4023500 4100875 4264910 8201750 8529820 10662275 16403500 21324550 42649100 53311375 106622750 213245500