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213115616 = 2577313033
BaseRepresentation
bin11001011001111…
…10001011100000
3112212000101122222
430230332023200
5414024144431
633051450212
75165311220
oct1454761340
9485011588
10213115616
11aa330a0a
125b456968
13351ca01c
1420438080
1513a9a57b
hexcb3e2e0

213115616 has 48 divisors (see below), whose sum is σ = 486116064. Its totient is φ = 90077184.

The previous prime is 213115603. The next prime is 213115619. The reversal of 213115616 is 616511312.

213115616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213115619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9836 + ... + 22868.

It is an arithmetic number, because the mean of its divisors is an integer number (10127418).

Almost surely, 2213115616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213115616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243058032).

213115616 is an abundant number, since it is smaller than the sum of its proper divisors (273000448).

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

213115616 is a wasteful number, since it uses less digits than its factorization.

213115616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13123 (or 13115 counting only the distinct ones).

The product of its digits is 1080, while the sum is 26.

The square root of 213115616 is about 14598.4799208685. The cubic root of 213115616 is about 597.3172971265.

Adding to 213115616 its reverse (616511312), we get a palindrome (829626928).

The spelling of 213115616 in words is "two hundred thirteen million, one hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 73 112 146 224 292 511 584 1022 1168 2044 2336 4088 8176 13033 16352 26066 52132 91231 104264 182462 208528 364924 417056 729848 951409 1459696 1902818 2919392 3805636 6659863 7611272 13319726 15222544 26639452 30445088 53278904 106557808 213115616