Search a number
-
+
2145446112 = 25340135569
BaseRepresentation
bin111111111100000…
…1110100011100000
312112112000221210010
41333320032203200
513343213233422
6552520204520
7104110663635
oct17770164340
95475027703
102145446112
11a01059467
124ba609740
13282640554
14164d1a18c
15c8542b0c
hex7fe0e8e0

2145446112 has 48 divisors (see below), whose sum is σ = 5634210960. Its totient is φ = 714842112.

The previous prime is 2145446111. The next prime is 2145446117. The reversal of 2145446112 is 2116445412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2145446112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145446111) 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, 382464 + ... + 388032.

It is an arithmetic number, because the mean of its divisors is an integer number (117379395).

Almost surely, 22145446112 is an apocalyptic number.

It is an amenable number.

2145446112 is an abundant number, since it is smaller than the sum of its proper divisors (3488764848).

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

2145446112 is a wasteful number, since it uses less digits than its factorization.

2145446112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9595 (or 9587 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 2145446112 is about 46318.9606101001. The cubic root of 2145446112 is about 1289.7509909369.

The spelling of 2145446112 in words is "two billion, one hundred forty-five million, four hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4013 5569 8026 11138 12039 16052 16707 22276 24078 32104 33414 44552 48156 64208 66828 89104 96312 128416 133656 178208 192624 267312 385248 534624 22348397 44696794 67045191 89393588 134090382 178787176 268180764 357574352 536361528 715148704 1072723056 2145446112