Search a number
-
+
1213224320 = 27572113517
BaseRepresentation
bin100100001010000…
…0101010110000000
310010112220011220002
41020110011112000
54441041134240
6320215335132
742031144100
oct11024052600
93115804802
101213224320
11572919430
1229a3814a8
13164474819
14b71b3200
157179dd15
hex48505580

1213224320 has 192 divisors, whose sum is σ = 3681657360. Its totient is φ = 378040320.

The previous prime is 1213224319. The next prime is 1213224349. The reversal of 1213224320 is 234223121.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1213224292 and 1213224301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343202 + ... + 346718.

Almost surely, 21213224320 is an apocalyptic number.

1213224320 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 1213224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840828680).

1213224320 is an abundant number, since it is smaller than the sum of its proper divisors (2468433040).

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

1213224320 is a wasteful number, since it uses less digits than its factorization.

1213224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1213224320 is about 34831.3697692181. The cubic root of 1213224320 is about 1066.5479103900.

Adding to 1213224320 its reverse (234223121), we get a palindrome (1447447441).

The spelling of 1213224320 in words is "one billion, two hundred thirteen million, two hundred twenty-four thousand, three hundred twenty".