Search a number
-
+
30859246224 = 2432146392
BaseRepresentation
bin11100101111010110…
…101011101010010000
32221122122010010121100
4130233112223222100
51001144431334344
622102044424400
72141502156612
oct345726535220
987578103540
1030859246224
11120a6270484
125b92848100
132baa3bcb11
1416ca5d6db2
15c092a5569
hex72f5aba90

30859246224 has 45 divisors (see below), whose sum is σ = 86368929283. Its totient is φ = 10285712736.

The previous prime is 30859246109. The next prime is 30859246291. The reversal of 30859246224 is 42264295803.

The square root of 30859246224 is 175668.

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

30859246224 is a `hidden beast` number, since 3 + 0 + 85 + 92 + 462 + 24 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30859246224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2100697 + ... + 2115335.

Almost surely, 230859246224 is an apocalyptic number.

30859246224 is the 175668-th square number.

It is an amenable number.

30859246224 is an abundant number, since it is smaller than the sum of its proper divisors (55509683059).

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

30859246224 is an frugal number, since it uses more digits than its factorization.

30859246224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29292 (or 14644 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30859246224 in words is "thirty billion, eight hundred fifty-nine million, two hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14639 29278 43917 58556 87834 117112 131751 175668 234224 263502 351336 527004 702672 1054008 2108016 214300321 428600642 642900963 857201284 1285801926 1714402568 1928702889 2571603852 3428805136 3857405778 5143207704 7714811556 10286415408 15429623112 30859246224