Search a number
-
+
1224330120 = 2333513293197
BaseRepresentation
bin100100011111001…
…1100101110001000
310011022210102012000
41020332130232020
510001412030440
6321253351000
742224430366
oct11076345610
93138712160
101224330120
11579114382
122a2038460
131668627c0
14b8864636
1572744730
hex48f9cb88

1224330120 has 512 divisors, whose sum is σ = 4741632000. Its totient is φ = 278691840.

The previous prime is 1224330109. The next prime is 1224330127. The reversal of 1224330120 is 210334221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1224330093 and 1224330102.

It is not an unprimeable number, because it can be changed into a prime (1224330127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12621912 + ... + 12622008.

It is an arithmetic number, because the mean of its divisors is an integer number (9261000).

Almost surely, 21224330120 is an apocalyptic number.

1224330120 is a gapful number since it is divisible by the number (10) 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 1224330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370816000).

1224330120 is an abundant number, since it is smaller than the sum of its proper divisors (3517301880).

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

1224330120 is a wasteful number, since it uses less digits than its factorization.

1224330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1224330120 is about 34990.4289770789. The cubic root of 1224330120 is about 1069.7924073937.

Adding to 1224330120 its reverse (210334221), we get a palindrome (1434664341).

The spelling of 1224330120 in words is "one billion, two hundred twenty-four million, three hundred thirty thousand, one hundred twenty".