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213120232 = 231313115643
BaseRepresentation
bin11001011001111…
…11010011101000
3112212000121222221
430230333103220
5414024321412
633051523424
75165330533
oct1454772350
9485017887
10213120232
11aa334426
125b459574
13351cc160
1420439a1a
1513a9bb07
hexcb3f4e8

213120232 has 32 divisors (see below), whose sum is σ = 433651680. Its totient is φ = 97606080.

The previous prime is 213120197. The next prime is 213120239. The reversal of 213120232 is 232021312.

It is not an unprimeable number, because it can be changed into a prime (213120239) 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, 5803 + ... + 21445.

It is an arithmetic number, because the mean of its divisors is an integer number (13551615).

Almost surely, 2213120232 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 213120232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216825840).

213120232 is an abundant number, since it is smaller than the sum of its proper divisors (220531448).

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

213120232 is a wasteful number, since it uses less digits than its factorization.

213120232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15793 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213120232 is about 14598.6380186646. The cubic root of 213120232 is about 597.3216096476.

Adding to 213120232 its reverse (232021312), we get a palindrome (445141544).

The spelling of 213120232 in words is "two hundred thirteen million, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 131 262 524 1048 1703 3406 6812 13624 15643 31286 62572 125144 203359 406718 813436 1626872 2049233 4098466 8196932 16393864 26640029 53280058 106560116 213120232