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2124002144 = 251116337019
BaseRepresentation
bin111111010011001…
…1011001101100000
312111000200111012002
41332212123031200
513322221032034
6550432423132
7103430502035
oct17646331540
95430614162
102124002144
1199aa42280
124b33a7aa8
1327b072b04
1416213738c
15c6708e7e
hex7e99b360

2124002144 has 48 divisors (see below), whose sum is σ = 4589887680. Its totient is φ = 959506560.

The previous prime is 2124002143. The next prime is 2124002173. The reversal of 2124002144 is 4412004212.

It is a super-2 number, since 2×21240021442 = 9022770215433193472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124002141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 38867 + ... + 75885.

It is an arithmetic number, because the mean of its divisors is an integer number (95622660).

Almost surely, 22124002144 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 2124002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294943840).

2124002144 is an abundant number, since it is smaller than the sum of its proper divisors (2465885536).

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

2124002144 is a wasteful number, since it uses less digits than its factorization.

2124002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37203 (or 37195 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 2124002144 is about 46086.8977476245. The cubic root of 2124002144 is about 1285.4395270563.

Adding to 2124002144 its reverse (4412004212), we get a palindrome (6536006356).

The spelling of 2124002144 in words is "two billion, one hundred twenty-four million, two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 163 176 326 352 652 1304 1793 2608 3586 5216 7172 14344 28688 37019 57376 74038 148076 296152 407209 592304 814418 1184608 1628836 3257672 6034097 6515344 12068194 13030688 24136388 48272776 66375067 96545552 132750134 193091104 265500268 531000536 1062001072 2124002144