Search a number
-
+
213289968 = 2434443541
BaseRepresentation
bin11001011011010…
…00101111110000
3112212100020211110
430231220233300
5414100234333
633055313320
75166635433
oct1455505760
9485306743
10213289968
11aa43aa01
125b51b840
133525b4a8
142048181a
1513ad2063
hexcb68bf0

213289968 has 20 divisors (see below), whose sum is σ = 550999208. Its totient is φ = 71096640.

The previous prime is 213289961. The next prime is 213289987. The reversal of 213289968 is 869982312.

It is a super-2 number, since 2×2132899682 = 90985220898882048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 4443541 = 213289968 / (2 + 1 + 3 + 2 + 8 + 9 + 9 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213289961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2221723 + ... + 2221818.

Almost surely, 2213289968 is an apocalyptic number.

It is an amenable number.

213289968 is an abundant number, since it is smaller than the sum of its proper divisors (337709240).

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

213289968 is a wasteful number, since it uses less digits than its factorization.

213289968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443552 (or 4443546 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 213289968 is about 14604.4502806508. The cubic root of 213289968 is about 597.4801431284.

The spelling of 213289968 in words is "two hundred thirteen million, two hundred eighty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 4443541 8887082 13330623 17774164 26661246 35548328 53322492 71096656 106644984 213289968