Search a number
-
+
213449652 = 2232131493061
BaseRepresentation
bin11001011100011…
…11101110110100
3112212122100212200
430232033232310
5414120342102
633102544500
75201202123
oct1456175664
9485570780
10213449652
11aa539979
125b598130
13352b6090
14204c3aba
1513b1451c
hexcb8fbb4

213449652 has 72 divisors (see below), whose sum is σ = 585148200. Its totient is φ = 65214720.

The previous prime is 213449609. The next prime is 213449693. The reversal of 213449652 is 256944312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14470416 + 198979236 = 3804^2 + 14106^2 .

It is a super-2 number, since 2×2134496522 = 91121507877842208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68202 + ... + 71262.

Almost surely, 2213449652 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 213449652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292574100).

213449652 is an abundant number, since it is smaller than the sum of its proper divisors (371698548).

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

213449652 is a wasteful number, since it uses less digits than its factorization.

213449652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3228 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 213449652 is about 14609.9162215257. The cubic root of 213449652 is about 597.6292112730.

The spelling of 213449652 in words is "two hundred thirteen million, four hundred forty-nine thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 298 447 468 596 894 1341 1788 1937 2682 3061 3874 5364 5811 6122 7748 9183 11622 12244 17433 18366 23244 27549 34866 36732 39793 55098 69732 79586 110196 119379 159172 238758 358137 456089 477516 716274 912178 1368267 1432548 1824356 2736534 4104801 5473068 5929157 8209602 11858314 16419204 17787471 23716628 35574942 53362413 71149884 106724826 213449652