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213152212 = 227132512333
BaseRepresentation
bin11001011010001…
…11000111010100
3112212002020212101
430231013013110
5414031332322
633052331444
75165523010
oct1455070724
9485066771
10213152212
11aa356459
125b473b84
1335210890
1420447540
1513aa6327
hexcb471d4

213152212 has 48 divisors (see below), whose sum is σ = 461123712. Its totient is φ = 83952000.

The previous prime is 213152143. The next prime is 213152213. The reversal of 213152212 is 212251312.

213152212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213152212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213152213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90198 + ... + 92530.

It is an arithmetic number, because the mean of its divisors is an integer number (9606744).

Almost surely, 2213152212 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 213152212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230561856).

213152212 is an abundant number, since it is smaller than the sum of its proper divisors (247971500).

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

213152212 is a wasteful number, since it uses less digits than its factorization.

213152212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2606 counting only the distinct ones).

The product of its digits is 240, while the sum is 19.

The square root of 213152212 is about 14599.7332852350. The cubic root of 213152212 is about 597.3514854122.

The spelling of 213152212 in words is "two hundred thirteen million, one hundred fifty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 251 364 502 1004 1757 2333 3263 3514 4666 6526 7028 9332 13052 16331 22841 30329 32662 45682 60658 65324 91364 121316 212303 424606 585583 849212 1171166 2342332 4099081 7612579 8198162 15225158 16396324 30450316 53288053 106576106 213152212