Search a number
-
+
213992296 = 23771107503
BaseRepresentation
bin11001100000101…
…00001101101000
3112220122221020121
430300110031220
5414240223141
633122333024
75205622150
oct1460241550
9486587217
10213992296
11aa87a641
125b7ba174
133544607b
14205c5760
1513bc01d1
hexcc14368

213992296 has 64 divisors (see below), whose sum is σ = 470292480. Its totient is φ = 89396160.

The previous prime is 213992293. The next prime is 213992321. The reversal of 213992296 is 692299312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213992293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425181 + ... + 425683.

It is an arithmetic number, because the mean of its divisors is an integer number (7348320).

Almost surely, 2213992296 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 213992296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240).

213992296 is an abundant number, since it is smaller than the sum of its proper divisors (256300184).

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

213992296 is a wasteful number, since it uses less digits than its factorization.

213992296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its digits is 104976, while the sum is 43.

The square root of 213992296 is about 14628.4755186588. The cubic root of 213992296 is about 598.1352251771.

The spelling of 213992296 in words is "two hundred thirteen million, nine hundred ninety-two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 56 71 107 142 214 284 428 497 503 568 749 856 994 1006 1498 1988 2012 2996 3521 3976 4024 5992 7042 7597 14084 15194 28168 30388 35713 53179 53821 60776 71426 106358 107642 142852 212716 215284 249991 285704 376747 425432 430568 499982 753494 999964 1506988 1999928 3013976 3821291 7642582 15285164 26749037 30570328 53498074 106996148 213992296