Search a number
-
+
11223031968 = 253238968861
BaseRepresentation
bin10100111001111000…
…11110000010100000
31001222011010002120200
422130330132002200
5140441044010333
65053352305200
7545055124551
oct123474360240
931864102520
1011223031968
11483a122035
1222126a2200
13109b1b7125
1478676a328
1545a447c13
hex29cf1e0a0

11223031968 has 36 divisors (see below), whose sum is σ = 31915497978. Its totient is φ = 3741010560.

The previous prime is 11223031957. The next prime is 11223031969. The reversal of 11223031968 is 86913032211.

It can be written as a sum of positive squares in only one way, i.e., 6160994064 + 5062037904 = 78492^2 + 71148^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11223031969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19484143 + ... + 19484718.

Almost surely, 211223031968 is an apocalyptic number.

11223031968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11223031968 is an abundant number, since it is smaller than the sum of its proper divisors (20692466010).

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

11223031968 is a wasteful number, since it uses less digits than its factorization.

11223031968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38968877 (or 38968866 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11223031968 in words is "eleven billion, two hundred twenty-three million, thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 38968861 77937722 116906583 155875444 233813166 311750888 350719749 467626332 623501776 701439498 935252664 1247003552 1402878996 1870505328 2805757992 3741010656 5611515984 11223031968