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3230055450 = 2325227725913
BaseRepresentation
bin1100000010000110…
…1011110000011010
322100002220211002100
43000201223300122
523103343233300
61252303144230
7143021006166
oct30041536032
98302824070
103230055450
111408311516
127618a5076
133c6262b1b
14228dadca6
1513d888700
hexc086bc1a

3230055450 has 72 divisors (see below), whose sum is σ = 8709747228. Its totient is φ = 858205440.

The previous prime is 3230055449. The next prime is 3230055457. The reversal of 3230055450 is 545500323.

3230055450 is a `hidden beast` number, since 32 + 30 + 0 + 554 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 803212281 + 2426843169 = 28341^2 + 49263^2 .

It is not an unprimeable number, because it can be changed into a prime (3230055457) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 111694 + ... + 137606.

Almost surely, 23230055450 is an apocalyptic number.

3230055450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3230055450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354873614).

3230055450 is an abundant number, since it is smaller than the sum of its proper divisors (5479691778).

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

3230055450 is a wasteful number, since it uses less digits than its factorization.

3230055450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26208 (or 26200 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 3230055450 is about 56833.5767834473. The cubic root of 3230055450 is about 1478.2117813817.

Adding to 3230055450 its reverse (545500323), we get a palindrome (3775555773).

It can be divided in two parts, 323005 and 5450, that added together give a triangular number (328455 = T810).

The spelling of 3230055450 in words is "three billion, two hundred thirty million, fifty-five thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 277 450 554 831 1385 1662 2493 2770 4155 4986 6925 8310 12465 13850 20775 24930 25913 41550 51826 62325 77739 124650 129565 155478 233217 259130 388695 466434 647825 777390 1166085 1295650 1943475 2332170 3886950 5830425 7177901 11660850 14355802 21533703 35889505 43067406 64601109 71779010 107668515 129202218 179447525 215337030 323005545 358895050 538342575 646011090 1076685150 1615027725 3230055450