Search a number
-
+
2423141500 = 2253131013691
BaseRepresentation
bin1001000001101110…
…0011010001111100
320020212120100020111
42100123203101330
514430311012000
61040240155404
7114022235323
oct22033432174
96225510214
102423141500
11103388908a
12577608b64
132c802bc50
1418db650ba
15e2ae7cba
hex906e347c

2423141500 has 96 divisors (see below), whose sum is σ = 5757216192. Its totient is φ = 885600000.

The previous prime is 2423141477. The next prime is 2423141519. The reversal of 2423141500 is 51413242.

It is a super-2 number, since 2×24231415002 = 11743229458044500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654655 + ... + 658345.

It is an arithmetic number, because the mean of its divisors is an integer number (59971002).

Almost surely, 22423141500 is an apocalyptic number.

2423141500 is a gapful number since it is divisible by the number (20) 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 2423141500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2878608096).

2423141500 is an abundant number, since it is smaller than the sum of its proper divisors (3334074692).

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

2423141500 is a wasteful number, since it uses less digits than its factorization.

2423141500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3824 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2423141500 is about 49225.4151836224. The cubic root of 2423141500 is about 1343.1553879043.

Adding to 2423141500 its reverse (51413242), we get a palindrome (2474554742).

The spelling of 2423141500 in words is "two billion, four hundred twenty-three million, one hundred forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 125 130 202 250 260 325 404 500 505 650 1010 1300 1313 1625 2020 2525 2626 3250 3691 5050 5252 6500 6565 7382 10100 12625 13130 14764 18455 25250 26260 32825 36910 47983 50500 65650 73820 92275 95966 131300 164125 184550 191932 239915 328250 369100 372791 461375 479830 656500 745582 922750 959660 1199575 1491164 1845500 1863955 2399150 3727910 4798300 4846283 5997875 7455820 9319775 9692566 11995750 18639550 19385132 23991500 24231415 37279100 46598875 48462830 93197750 96925660 121157075 186395500 242314150 484628300 605785375 1211570750 2423141500