Search a number
-
+
322000020 = 223253075827
BaseRepresentation
bin10011001100010…
…101010010010100
3211102220021222200
4103030111102110
51124413000040
651541324500
710656645366
oct2314252224
9742807880
10322000020
11155840421
128ba06730
1351931674
1430a9cd36
151d407630
hex13315494

322000020 has 72 divisors (see below), whose sum is σ = 980083104. Its totient is φ = 85572288.

The previous prime is 321999983. The next prime is 322000027. The reversal of 322000020 is 20000223.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 321999966 and 322000011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322000027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52347 + ... + 58173.

Almost surely, 2322000020 is an apocalyptic number.

322000020 is a gapful number since it is divisible by the number (30) 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 322000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490041552).

322000020 is an abundant number, since it is smaller than the sum of its proper divisors (658083084).

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

322000020 is a wasteful number, since it uses less digits than its factorization.

322000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6149 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 322000020 is about 17944.3590022046. The cubic root of 322000020 is about 685.4124143740.

Adding to 322000020 its reverse (20000223), we get a palindrome (342000243).

The spelling of 322000020 in words is "three hundred twenty-two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 921 1228 1535 1842 2763 3070 3684 4605 5526 5827 6140 9210 11052 11654 13815 17481 18420 23308 27630 29135 34962 52443 55260 58270 69924 87405 104886 116540 174810 209772 262215 349620 524430 1048860 1788889 3577778 5366667 7155556 8944445 10733334 16100001 17888890 21466668 26833335 32200002 35777780 53666670 64400004 80500005 107333340 161000010 322000020