Search a number
-
+
213214624 = 257951851
BaseRepresentation
bin11001011010101…
…10010110100000
3112212012102110221
430231112112200
5414040331444
633053532424
75166202660
oct1455262640
9485172427
10213214624
11aa399337
125b4a4114
13352330cc
14204621a0
1513ab9a84
hexcb565a0

213214624 has 24 divisors (see below), whose sum is σ = 479733408. Its totient is φ = 91377600.

The previous prime is 213214619. The next prime is 213214657. The reversal of 213214624 is 426412312.

It is a happy number.

It is a super-2 number, since 2×2132146242 = 90920951774922752, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 475702 + ... + 476149.

It is an arithmetic number, because the mean of its divisors is an integer number (19988892).

Almost surely, 2213214624 is an apocalyptic number.

It is an amenable number.

213214624 is an abundant number, since it is smaller than the sum of its proper divisors (266518784).

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

213214624 is an equidigital number, since it uses as much as digits as its factorization.

213214624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951868 (or 951860 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 213214624 is about 14601.8705651023. The cubic root of 213214624 is about 597.4097821921.

Adding to 213214624 its reverse (426412312), we get a palindrome (639626936).

The spelling of 213214624 in words is "two hundred thirteen million, two hundred fourteen thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 951851 1903702 3807404 6662957 7614808 13325914 15229616 26651828 30459232 53303656 106607312 213214624