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213415332 = 223134161547
BaseRepresentation
bin11001011100001…
…11010110100100
3112212120121210120
430232013112210
5414113242312
633102121540
75201000064
oct1456072644
9485517716
10213415332
11aa516109
125b5802b0
13352a3580
14204b53a4
1513b0928c
hexcb875a4

213415332 has 96 divisors (see below), whose sum is σ = 559380864. Its totient is φ = 62899200.

The previous prime is 213415283. The next prime is 213415339. The reversal of 213415332 is 233514312.

213415332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2134153322 = 91092207865340448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213415339) 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, 389883 + ... + 390429.

It is an arithmetic number, because the mean of its divisors is an integer number (5826884).

Almost surely, 2213415332 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 213415332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279690432).

213415332 is an abundant number, since it is smaller than the sum of its proper divisors (345965532).

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

213415332 is a wasteful number, since it uses less digits than its factorization.

213415332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 213415332 is about 14608.7416295860. The cubic root of 213415332 is about 597.5971791540.

Adding to 213415332 its reverse (233514312), we get a palindrome (446929644).

The spelling of 213415332 in words is "two hundred thirteen million, four hundred fifteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 61 78 82 122 123 156 164 183 244 246 366 492 533 547 732 793 1066 1094 1586 1599 1641 2132 2188 2379 2501 3172 3198 3282 4758 5002 6396 6564 7111 7503 9516 10004 14222 15006 21333 22427 28444 30012 32513 33367 42666 44854 65026 66734 67281 85332 89708 97539 100101 130052 133468 134562 195078 200202 269124 291551 390156 400404 433771 583102 867542 874653 1166204 1301313 1368047 1735084 1749306 2602626 2736094 3498612 4104141 5205252 5472188 8208282 16416564 17784611 35569222 53353833 71138444 106707666 213415332