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2431230152 = 231361409937
BaseRepresentation
bin1001000011101001…
…1010000011001000
320021102210021210012
42100322122003020
514434343331102
61041125411052
7114151054361
oct22072320310
96242707705
102431230152
11103840321a
1257a269a88
132c9901830
14190c6cb68
15e3694752
hex90e9a0c8

2431230152 has 64 divisors (see below), whose sum is σ = 5007231600. Its totient is φ = 1099837440.

The previous prime is 2431230127. The next prime is 2431230181. The reversal of 2431230152 is 2510321342.

It can be written as a sum of positive squares in 8 ways, for example, as 154604356 + 2276625796 = 12434^2 + 47714^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2594228 + ... + 2595164.

Almost surely, 22431230152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431230152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503615800).

2431230152 is an abundant number, since it is smaller than the sum of its proper divisors (2576001448).

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

2431230152 is a wasteful number, since it uses less digits than its factorization.

2431230152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2431230152 is about 49307.5060411698. The cubic root of 2431230152 is about 1344.6482502640.

Adding to 2431230152 its reverse (2510321342), we get a palindrome (4941551494).

The spelling of 2431230152 in words is "two billion, four hundred thirty-one million, two hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 409 488 793 818 937 1586 1636 1874 3172 3272 3748 5317 6344 7496 10634 12181 21268 24362 24949 42536 48724 49898 57157 97448 99796 114314 199592 228628 324337 383233 457256 648674 743041 766466 1297348 1486082 1532932 2594696 2972164 3065864 4982029 5944328 9964058 19928116 23377213 39856232 46754426 93508852 187017704 303903769 607807538 1215615076 2431230152