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2300051442 = 231367736029
BaseRepresentation
bin1000100100010111…
…1111111111110010
312221021221201102110
42021011333333302
514202303121232
61020122030150
7110666054223
oct21105777762
95837851373
102300051442
11a80356767
12542348356
132a86926b0
1417b68324a
15d6dd1acc
hex8917fff2

2300051442 has 64 divisors (see below), whose sum is σ = 5097617280. Its totient is φ = 687481344.

The previous prime is 2300051317. The next prime is 2300051447. The reversal of 2300051442 is 2441500032.

It is not an unprimeable number, because it can be changed into a prime (2300051447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378484 + ... + 384512.

It is an arithmetic number, because the mean of its divisors is an integer number (79650270).

Almost surely, 22300051442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300051442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548808640).

2300051442 is an abundant number, since it is smaller than the sum of its proper divisors (2797565838).

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

2300051442 is a wasteful number, since it uses less digits than its factorization.

2300051442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6187.

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2300051442 is about 47958.8515500528. The cubic root of 2300051442 is about 1320.0159628464.

Adding to 2300051442 its reverse (2441500032), we get a palindrome (4741551474).

The spelling of 2300051442 in words is "two billion, three hundred million, fifty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 67 73 78 134 146 201 219 402 438 871 949 1742 1898 2613 2847 4891 5226 5694 6029 9782 12058 14673 18087 29346 36174 63583 78377 127166 156754 190749 235131 381498 403943 440117 470262 807886 880234 1211829 1320351 2423658 2640702 5251259 5721521 10502518 11443042 15753777 17164563 29487839 31507554 34329126 58975678 88463517 176927034 383341907 766683814 1150025721 2300051442