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2420230144 = 2116119373
BaseRepresentation
bin1001000001000001…
…1100100000000000
320020200002102121111
42100100130200000
514424034331034
61040053533104
7113655421363
oct22020344000
96220072544
102420230144
11103217a802
12576644194
132c754ca57
1418d6080da
15e2720364
hex9041c800

2420230144 has 48 divisors (see below), whose sum is σ = 4918864860. Its totient is φ = 1190215680.

The previous prime is 2420230129. The next prime is 2420230147. The reversal of 2420230144 is 4410320242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2032927744 + 387302400 = 45088^2 + 19680^2 .

It is not an unprimeable number, because it can be changed into a prime (2420230147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115242 + ... + 134614.

Almost surely, 22420230144 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 2420230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459432430).

2420230144 is an abundant number, since it is smaller than the sum of its proper divisors (2498634716).

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

2420230144 is an equidigital number, since it uses as much as digits as its factorization.

2420230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19456 (or 19436 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 2420230144 is about 49195.8346204229. The cubic root of 2420230144 is about 1342.6172475557.

Adding to 2420230144 its reverse (4410320242), we get a palindrome (6830550386).

The spelling of 2420230144 in words is "two billion, four hundred twenty million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 1024 1952 2048 3904 7808 15616 19373 31232 38746 62464 77492 124928 154984 309968 619936 1181753 1239872 2363506 2479744 4727012 4959488 9454024 9918976 18908048 19837952 37816096 39675904 75632192 151264384 302528768 605057536 1210115072 2420230144