Search a number
-
+
1221030252 = 2232135944221
BaseRepresentation
bin100100011000111…
…0111000101101100
310011002120202121200
41020301313011230
510000040432002
6321054525500
742154404651
oct11061670554
93132522550
101221030252
11577270112
122a0b06890
13165c78810
14b8245c28
15722e1b1c
hex48c7716c

1221030252 has 72 divisors (see below), whose sum is σ = 3380329680. Its totient is φ = 369325440.

The previous prime is 1221030199. The next prime is 1221030257. The reversal of 1221030252 is 2520301221.

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

It is not an unprimeable number, because it can be changed into a prime (1221030257) 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, 5502 + ... + 49722.

Almost surely, 21221030252 is an apocalyptic number.

1221030252 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 1221030252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690164840).

1221030252 is an abundant number, since it is smaller than the sum of its proper divisors (2159299428).

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

1221030252 is a wasteful number, since it uses less digits than its factorization.

1221030252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44303 (or 44298 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1221030252 is about 34943.2432953783. The cubic root of 1221030252 is about 1068.8304255471.

Adding to 1221030252 its reverse (2520301221), we get a palindrome (3741331473).

The spelling of 1221030252 in words is "one billion, two hundred twenty-one million, thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 59 78 117 118 156 177 234 236 354 468 531 708 767 1062 1534 2124 2301 3068 4602 6903 9204 13806 27612 44221 88442 132663 176884 265326 397989 530652 574873 795978 1149746 1591956 1724619 2299492 2609039 3449238 5173857 5218078 6898476 7827117 10347714 10436156 15654234 20695428 23481351 31308468 33917507 46962702 67835014 93925404 101752521 135670028 203505042 305257563 407010084 610515126 1221030252