Search a number
-
+
212423136 = 25313915919
BaseRepresentation
bin11001010100101…
…01000111100000
3112210201012202120
430222111013200
5413340020021
633024544240
75156365302
oct1452250740
9483635676
10212423136
11a99a8712
125b182080
1335016a83
14202d7972
15139b02c6
hexca951e0

212423136 has 48 divisors (see below), whose sum is σ = 561657600. Its totient is φ = 70293888.

The previous prime is 212423131. The next prime is 212423161. The reversal of 212423136 is 631324212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212423131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5385 + ... + 21303.

It is an arithmetic number, because the mean of its divisors is an integer number (11701200).

Almost surely, 2212423136 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 212423136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280828800).

212423136 is an abundant number, since it is smaller than the sum of its proper divisors (349234464).

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

212423136 is a wasteful number, since it uses less digits than its factorization.

212423136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16063 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 212423136 is about 14574.7430852142. The cubic root of 212423136 is about 596.6696375676.

Adding to 212423136 its reverse (631324212), we get a palindrome (843747348).

The spelling of 212423136 in words is "two hundred twelve million, four hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 139 278 417 556 834 1112 1668 2224 3336 4448 6672 13344 15919 31838 47757 63676 95514 127352 191028 254704 382056 509408 764112 1528224 2212741 4425482 6638223 8850964 13276446 17701928 26552892 35403856 53105784 70807712 106211568 212423136