Search a number
-
+
213446952 = 233224112301
BaseRepresentation
bin11001011100011…
…11000100101000
3112212122020011200
430232033010220
5414120300302
633102524200
75201161215
oct1456170450
9485566150
10213446952
11aa537944
125b596660
13352b4a94
14204c2b0c
1513b1381c
hexcb8f128

213446952 has 48 divisors (see below), whose sum is σ = 580531380. Its totient is φ = 70848000.

The previous prime is 213446941. The next prime is 213446957. The reversal of 213446952 is 259644312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 212751396 + 695556 = 14586^2 + 834^2 .

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

It is not an unprimeable number, because it can be changed into a prime (213446957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11202 + ... + 23502.

Almost surely, 2213446952 is an apocalyptic number.

It is an amenable number.

213446952 is an abundant number, since it is smaller than the sum of its proper divisors (367084428).

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

213446952 is a wasteful number, since it uses less digits than its factorization.

213446952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12554 (or 12547 counting only the distinct ones).

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

The square root of 213446952 is about 14609.8238182396. The cubic root of 213446952 is about 597.6266913881.

It can be divided in two parts, 2134469 and 52, that added together give a square (2134521 = 14612).

The spelling of 213446952 in words is "two hundred thirteen million, four hundred forty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 723 964 1446 1928 2169 2892 4338 5784 8676 12301 17352 24602 36903 49204 73806 98408 110709 147612 221418 295224 442836 885672 2964541 5929082 8893623 11858164 17787246 23716328 26680869 35574492 53361738 71148984 106723476 213446952