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214113024224 = 2511608275637
BaseRepresentation
bin1100011101101000100…
…0010111100011100000
3202110122220102121011022
43013122020113203200
512002000413233344
6242210121105012
721316630451141
oct3073210274340
9673586377138
10214113024224
1182894247190
12355b6028168
1317263181a98
14a5125b9ac8
1558824810ee
hex31da2178e0

214113024224 has 24 divisors (see below), whose sum is σ = 459856382328. Its totient is φ = 97324101760.

The previous prime is 214113024163. The next prime is 214113024397. The reversal of 214113024224 is 422420311412.

It is a junction number, because it is equal to n+sod(n) for n = 214113024193 and 214113024202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 304137467 + ... + 304138170.

It is an arithmetic number, because the mean of its divisors is an integer number (19160682597).

Almost surely, 2214113024224 is an apocalyptic number.

It is an amenable number.

214113024224 is an abundant number, since it is smaller than the sum of its proper divisors (245743358104).

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

214113024224 is a wasteful number, since it uses less digits than its factorization.

214113024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608275658 (or 608275650 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 214113024224 its reverse (422420311412), we get a palindrome (636533335636).

The spelling of 214113024224 in words is "two hundred fourteen billion, one hundred thirteen million, twenty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 608275637 1216551274 2433102548 4866205096 6691032007 9732410192 13382064014 19464820384 26764128028 53528256056 107056512112 214113024224