Search a number
-
+
1222215968 = 25379411097
BaseRepresentation
bin100100011011001…
…1000100100100000
310011011211000010002
41020312120210200
510000341402333
6321140155132
742200443601
oct11066304440
93134730102
101222215968
115779aaa46
122a1398aa8
131662a241c
14b8473da8
15724780e8
hex48d98920

1222215968 has 48 divisors (see below), whose sum is σ = 2476152504. Its totient is φ = 593418240.

The previous prime is 1222215941. The next prime is 1222215971. The reversal of 1222215968 is 8695122221.

It can be written as a sum of positive squares in 4 ways, for example, as 1166085904 + 56130064 = 34148^2 + 7492^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1113596 + ... + 1114692.

Almost surely, 21222215968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222215968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238076252).

1222215968 is an abundant number, since it is smaller than the sum of its proper divisors (1253936536).

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

1222215968 is a wasteful number, since it uses less digits than its factorization.

1222215968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085 (or 2077 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 1222215968 is about 34960.2054913869. The cubic root of 1222215968 is about 1069.1762863016.

The spelling of 1222215968 in words is "one billion, two hundred twenty-two million, two hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 941 1097 1184 1882 2194 3764 4388 7528 8776 15056 17552 30112 34817 35104 40589 69634 81178 139268 162356 278536 324712 557072 649424 1032277 1114144 1298848 2064554 4129108 8258216 16516432 33032864 38194249 76388498 152776996 305553992 611107984 1222215968