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213202132 = 221113419091
BaseRepresentation
bin11001011010100…
…11010011010100
3112212011210100021
430231103103110
5414034432012
633053354524
75166121363
oct1455232324
9485153307
10213202132
11aa38aa10
125b498a44
133522a510
142045b7da
1513ab6007
hexcb534d4

213202132 has 48 divisors (see below), whose sum is σ = 449072064. Its totient is φ = 87264000.

The previous prime is 213202123. The next prime is 213202153. The reversal of 213202132 is 231202312.

213202132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18907 + ... + 27997.

It is an arithmetic number, because the mean of its divisors is an integer number (9355668).

Almost surely, 2213202132 is an apocalyptic number.

213202132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213202132 is an abundant number, since it is smaller than the sum of its proper divisors (235869932).

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

213202132 is a wasteful number, since it uses less digits than its factorization.

213202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9160 (or 9158 counting only the distinct ones).

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

The square root of 213202132 is about 14601.4428054217. The cubic root of 213202132 is about 597.3981147798.

Adding to 213202132 its reverse (231202312), we get a palindrome (444404444).

The spelling of 213202132 in words is "two hundred thirteen million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 41 44 52 82 143 164 286 451 533 572 902 1066 1804 2132 5863 9091 11726 18182 23452 36364 100001 118183 200002 236366 372731 400004 472732 745462 1300013 1490924 2600026 4100041 4845503 5200052 8200082 9691006 16400164 19382012 53300533 106601066 213202132