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2114430464 = 2935311699
BaseRepresentation
bin111111000000111…
…1010011000000000
312110100200012022102
41332001322120000
513312243233324
6545451325532
7103253235206
oct17601723000
95410605272
102114430464
119955a49a3
124b01508a8
132790a11b3
14160b65076
15c5967dae
hex7e07a600

2114430464 has 40 divisors (see below), whose sum is σ = 4237061400. Its totient is φ = 1054130176.

The previous prime is 2114430449. The next prime is 2114430467. The reversal of 2114430464 is 4640344112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114430467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174887 + ... + 186585.

It is an arithmetic number, because the mean of its divisors is an integer number (105926535).

Almost surely, 22114430464 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 2114430464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118530700).

2114430464 is an abundant number, since it is smaller than the sum of its proper divisors (2122630936).

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

2114430464 is an equidigital number, since it uses as much as digits as its factorization.

2114430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12054 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 2114430464 is about 45982.9366613312. The cubic root of 2114430464 is about 1283.5057022125.

Adding to 2114430464 its reverse (4640344112), we get a palindrome (6754774576).

The spelling of 2114430464 in words is "two billion, one hundred fourteen million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 353 512 706 1412 2824 5648 11296 11699 22592 23398 45184 46796 90368 93592 180736 187184 374368 748736 1497472 2994944 4129747 5989888 8259494 16518988 33037976 66075952 132151904 264303808 528607616 1057215232 2114430464