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213335540 = 225111915077
BaseRepresentation
bin11001011011100…
…11110111110100
3112212102120100022
430231303313310
5414103214130
633100304312
75200215335
oct1455636764
9485376308
10213335540
11aa471170
125b542098
1335276162
142049428c
1513ae07e5
hexcb73df4

213335540 has 48 divisors (see below), whose sum is σ = 491387904. Its totient is φ = 77155200.

The previous prime is 213335539. The next prime is 213335569. The reversal of 213335540 is 45533312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39482 + ... + 44558.

It is an arithmetic number, because the mean of its divisors is an integer number (10237248).

Almost surely, 2213335540 is an apocalyptic number.

213335540 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 213335540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245693952).

213335540 is an abundant number, since it is smaller than the sum of its proper divisors (278052364).

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

213335540 is a wasteful number, since it uses less digits than its factorization.

213335540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 26.

The square root of 213335540 is about 14606.0104066785. The cubic root of 213335540 is about 597.5226930685.

Adding to 213335540 its reverse (45533312), we get a palindrome (258868852).

It can be divided in two parts, 2133 and 35540, that added together give a palindrome (37673).

The spelling of 213335540 in words is "two hundred thirteen million, three hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 191 220 382 764 955 1910 2101 3820 4202 5077 8404 10154 10505 20308 21010 25385 42020 50770 55847 101540 111694 223388 279235 558470 969707 1116940 1939414 3878828 4848535 9697070 10666777 19394140 21333554 42667108 53333885 106667770 213335540