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213024016 = 2434938149
BaseRepresentation
bin11001011001001…
…11110100010000
3112211211202000101
430230213310100
5414013232031
633045502144
75164450162
oct1454476420
9484752011
10213024016
11aa279107
125b411954
133519741a
1420412932
1513a7d361
hexcb27d10

213024016 has 20 divisors (see below), whose sum is σ = 413927500. Its totient is φ = 106204032.

The previous prime is 213024011. The next prime is 213024023. The reversal of 213024016 is 610420312.

It can be written as a sum of positive squares in 2 ways, for example, as 176783616 + 36240400 = 13296^2 + 6020^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213023984 and 213024002.

It is not an unprimeable number, because it can be changed into a prime (213024011) by changing a digit.

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, 13491 + ... + 24658.

It is an arithmetic number, because the mean of its divisors is an integer number (20696375).

Almost surely, 2213024016 is an apocalyptic number.

It is an amenable number.

213024016 is a deficient number, since it is larger than the sum of its proper divisors (200903484).

213024016 is a wasteful number, since it uses less digits than its factorization.

213024016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38506 (or 38500 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 213024016 is about 14595.3422707383. The cubic root of 213024016 is about 597.2317064875.

Adding to 213024016 its reverse (610420312), we get a palindrome (823444328).

The spelling of 213024016 in words is "two hundred thirteen million, twenty-four thousand, sixteen".

Divisors: 1 2 4 8 16 349 698 1396 2792 5584 38149 76298 152596 305192 610384 13314001 26628002 53256004 106512008 213024016