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2124430252 = 227412298081
BaseRepresentation
bin111111010100000…
…0011101110101100
312111001111020102221
41332220003232230
513322323232002
6550445525124
7103434234130
oct17650035654
95431436387
102124430252
119a020498a
124b35737a4
1327b192929
141622093c0
15c6790c37
hex7ea03bac

2124430252 has 48 divisors (see below), whose sum is σ = 4372038720. Its totient is φ = 884275200.

The previous prime is 2124430249. The next prime is 2124430277. The reversal of 2124430252 is 2520344212.

It is a super-2 number, since 2×21244302522 = 9026407791225567008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258852 + ... + 266932.

It is an arithmetic number, because the mean of its divisors is an integer number (91084140).

Almost surely, 22124430252 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 2124430252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186019360).

2124430252 is an abundant number, since it is smaller than the sum of its proper divisors (2247608468).

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

2124430252 is a wasteful number, since it uses less digits than its factorization.

2124430252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8362 (or 8360 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2124430252 is about 46091.5420874590. The cubic root of 2124430252 is about 1285.5258844670.

Adding to 2124430252 its reverse (2520344212), we get a palindrome (4644774464).

The spelling of 2124430252 in words is "two billion, one hundred twenty-four million, four hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 41 82 164 229 287 458 574 916 1148 1603 3206 6412 8081 9389 16162 18778 32324 37556 56567 65723 113134 131446 226268 262892 331321 662642 1325284 1850549 2319247 3701098 4638494 7402196 9276988 12953843 25907686 51815372 75872509 151745018 303490036 531107563 1062215126 2124430252