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213522652 = 22717597603
BaseRepresentation
bin11001011101000…
…01100011011100
3112212210002000101
430232201203130
5414130211102
633104310444
75201625010
oct1456414334
9485702011
10213522652
11aa589802
125b612424
1335310385
1420502540
1513b2ae87
hexcba18dc

213522652 has 48 divisors (see below), whose sum is σ = 459889920. Its totient is φ = 84655872.

The previous prime is 213522619. The next prime is 213522689. The reversal of 213522652 is 256225312.

213522652 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 2×2135226522 = 91183845834226208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 213522652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24283 + ... + 31885.

It is an arithmetic number, because the mean of its divisors is an integer number (9581040).

Almost surely, 2213522652 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 213522652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229944960).

213522652 is an abundant number, since it is smaller than the sum of its proper divisors (246367268).

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

213522652 is a wasteful number, since it uses less digits than its factorization.

213522652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7690 (or 7688 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 213522652 is about 14612.4143111260. The cubic root of 213522652 is about 597.6973334421.

Adding to 213522652 its reverse (256225312), we get a palindrome (469747964).

The spelling of 213522652 in words is "two hundred thirteen million, five hundred twenty-two thousand, six hundred fifty-two".

Divisors: 1 2 4 7 14 17 28 34 59 68 118 119 236 238 413 476 826 1003 1652 2006 4012 7021 7603 14042 15206 28084 30412 53221 106442 129251 212884 258502 448577 517004 897154 904757 1794308 1809514 3140039 3619028 6280078 7625809 12560156 15251618 30503236 53380663 106761326 213522652