Search a number
-
+
31980884224 = 28111772
BaseRepresentation
bin11101110010001101…
…011001000100000000
310001112210200020200111
4131302031121010000
51010444101243344
622405233201104
72211342013342
oct356215310400
9101483606614
1031980884224
1112621414733
126246400194
1330288a8643
141795569292
15c729b2834
hex772359100

31980884224 has 27 divisors (see below), whose sum is σ = 63842555077. Its totient is φ = 15989011456.

The previous prime is 31980884213. The next prime is 31980884233. The reversal of 31980884224 is 42248808913.

The square root of 31980884224 is 178832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27982598400 + 3998285824 = 167280^2 + 63232^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2855724 + ... + 2866900.

Almost surely, 231980884224 is an apocalyptic number.

31980884224 is the 178832-nd square number.

It is an amenable number.

31980884224 is a deficient number, since it is larger than the sum of its proper divisors (31861670853).

31980884224 is an frugal number, since it uses more digits than its factorization.

31980884224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22370 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

Multiplying 31980884224 by its sum of digits (49), we get a square (1567063326976 = 12518242).

The spelling of 31980884224 in words is "thirty-one billion, nine hundred eighty million, eight hundred eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 11177 22354 44708 89416 178832 357664 715328 1430656 2861312 124925329 249850658 499701316 999402632 1998805264 3997610528 7995221056 15990442112 31980884224