Search a number
-
+
223999985792 = 2711238032
BaseRepresentation
bin1101000010011101110…
…0001000100010000000
3210102011221111021201002
43100213130020202000
512132222444021132
6250523145031132
722116633315032
oct3204734104200
9712157437632
10223999985792
1186aa8174800
12374b51854a8
131817a611bbb
14abad715c52
155c60461262
hex3427708880

223999985792 has 72 divisors (see below), whose sum is σ = 490635179895. Its totient is φ = 101791402240.

The previous prime is 223999985773. The next prime is 223999985813. The reversal of 223999985792 is 297589999322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 111999992896 + 111999992896 = 334664^2 + 334664^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334664.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 58898963 + ... + 58902765.

Almost surely, 2223999985792 is an apocalyptic number.

223999985792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223999985792

223999985792 is an abundant number, since it is smaller than the sum of its proper divisors (266635194103).

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

223999985792 is an frugal number, since it uses more digits than its factorization.

223999985792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 3816 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 74.

The spelling of 223999985792 in words is "two hundred twenty-three billion, nine hundred ninety-nine million, nine hundred eighty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3803 3872 7606 7744 15212 15488 30424 41833 60848 83666 121696 167332 243392 334664 460163 486784 669328 920326 1338656 1840652 2677312 3681304 5354624 7362608 14462809 14725216 28925618 29450432 57851236 58900864 115702472 159090899 231404944 318181798 462809888 636363596 925619776 1272727192 1749999889 1851239552 2545454384 3499999778 5090908768 6999999556 10181817536 13999999112 20363635072 27999998224 55999996448 111999992896 223999985792