Search a number
-
+
229748229872704 = 26193298172
BaseRepresentation
bin110100001111010001101101…
…101000010001110001000000
31010010110201100011102011210001
4310033101231220101301000
5220103143333321411304
62132344514005045344
766251522212155214
oct6417215550216100
91103421304364701
10229748229872704
116722874a26a334
12219268b53b6854
139b2721b9ab23a
1440a3c33460944
151b8642a946da4
hexd0f46da11c40

229748229872704 has 63 divisors (see below), whose sum is σ = 458327780828127. Its totient is φ = 114267271348224.

The previous prime is 229748229872683. The next prime is 229748229872713. The reversal of 229748229872704 is 407278922847922.

The square root of 229748229872704 is 15157448.

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

It can be written as a sum of positive squares in 4 ways, for example, as 40604321111104 + 189143908761600 = 6372152^2 + 13752960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23403094804 + ... + 23403104620.

It is an arithmetic number, because the mean of its divisors is an integer number (7275044140129).

Almost surely, 2229748229872704 is an apocalyptic number.

229748229872704 is the 15157448-th square number.

It is an amenable number.

229748229872704 is a deficient number, since it is larger than the sum of its proper divisors (228579550955423).

229748229872704 is an frugal number, since it uses more digits than its factorization.

229748229872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20032 (or 10012 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 73.

The spelling of 229748229872704 in words is "two hundred twenty-nine trillion, seven hundred forty-eight billion, two hundred twenty-nine million, eight hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 64 193 386 772 1544 3088 6176 9817 12352 19634 37249 39268 74498 78536 148996 157072 297992 314144 595984 628288 1191968 1894681 2383936 3789362 7578724 15157448 30314896 60629792 96373489 121259584 192746978 365673433 385493956 731346866 770987912 1462693732 1541975824 2925387464 3083951648 5850774928 6167903296 11701549856 18600083377 23403099712 37200166754 74400333508 148800667016 297601334032 595202668064 1190405336128 3589816091761 7179632183522 14359264367044 28718528734088 57437057468176 114874114936352 229748229872704