Search a number
-
+
1224224232 = 2337211101937
BaseRepresentation
bin100100011111000…
…0010110111101000
310011022121000221020
41020332002313220
510001400133412
6321251212440
742223506600
oct11076026750
93138530836
101224224232
11579051870
122a1ba7120
1316682654a
14b8837c00
157272318c
hex48f82de8

1224224232 has 192 divisors, whose sum is σ = 3926543040. Its totient is φ = 314496000.

The previous prime is 1224224231. The next prime is 1224224249. The reversal of 1224224232 is 2324224221.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1224224231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306068 + ... + 1307004.

It is an arithmetic number, because the mean of its divisors is an integer number (20450745).

Almost surely, 21224224232 is an apocalyptic number.

1224224232 is a gapful number since it is divisible by the number (12) 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 1224224232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963271520).

1224224232 is an abundant number, since it is smaller than the sum of its proper divisors (2702318808).

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

1224224232 is a wasteful number, since it uses less digits than its factorization.

1224224232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1061 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 1224224232 is about 34988.9158448786. The cubic root of 1224224232 is about 1069.7615656453.

Adding to 1224224232 its reverse (2324224221), we get a palindrome (3548448453).

It can be divided in two parts, 1224 and 224232, that added together give a triangular number (225456 = T671).

The spelling of 1224224232 in words is "one billion, two hundred twenty-four million, two hundred twenty-four thousand, two hundred thirty-two".