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213112452 = 223737191359
BaseRepresentation
bin11001011001111…
…01011010000100
3112212000020022210
430230331122010
5414024044302
633051423420
75165266050
oct1454753204
9485006283
10213112452
11aa3295a3
125b454b70
13351c8757
1420436c60
1513a9966c
hexcb3d684

213112452 has 96 divisors (see below), whose sum is σ = 588349440. Its totient is φ = 58769280.

The previous prime is 213112451. The next prime is 213112469. The reversal of 213112452 is 254211312.

213112452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (213112451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 593449 + ... + 593807.

It is an arithmetic number, because the mean of its divisors is an integer number (6128640).

Almost surely, 2213112452 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 213112452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720).

213112452 is an abundant number, since it is smaller than the sum of its proper divisors (375236988).

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

213112452 is a wasteful number, since it uses less digits than its factorization.

213112452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 599 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 213112452 is about 14598.3715530192. The cubic root of 213112452 is about 597.3143411078.

Adding to 213112452 its reverse (254211312), we get a palindrome (467323764).

The spelling of 213112452 in words is "two hundred thirteen million, one hundred twelve thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 191 222 259 359 382 444 518 573 718 764 777 1036 1077 1146 1337 1436 1554 2154 2292 2513 2674 3108 4011 4308 5026 5348 7067 7539 8022 10052 13283 14134 15078 16044 21201 26566 28268 30156 39849 42402 49469 53132 68569 79698 84804 92981 98938 137138 148407 159396 185962 197876 205707 274276 278943 296814 371924 411414 479983 557886 593628 822828 959966 1115772 1439949 1919932 2537053 2879898 5074106 5759796 7611159 10148212 15222318 17759371 30444636 35518742 53278113 71037484 106556226 213112452