Search a number
-
+
2114452100 = 2252232114357
BaseRepresentation
bin111111000000111…
…1111101010000100
312110100201021222202
41332001333222010
513312244431400
6545452014032
7103253355245
oct17601775204
95410637882
102114452100
1199560a182
124b0161318
132790aacb7
14160b6cccc
15c596e4d5
hex7e07fa84

2114452100 has 72 divisors (see below), whose sum is σ = 4811650368. Its totient is φ = 804988800.

The previous prime is 2114452099. The next prime is 2114452111. The reversal of 2114452100 is 12544112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 483122 + ... + 487478.

Almost surely, 22114452100 is an apocalyptic number.

2114452100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114452100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405825184).

2114452100 is an abundant number, since it is smaller than the sum of its proper divisors (2697198268).

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

2114452100 is a wasteful number, since it uses less digits than its factorization.

2114452100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4605 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2114452100 is about 45983.1719219107. The cubic root of 2114452100 is about 1283.5100800398.

Adding to 2114452100 its reverse (12544112), we get a palindrome (2126996212).

The spelling of 2114452100 in words is "two billion, one hundred fourteen million, four hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 211 230 422 460 575 844 1055 1150 2110 2300 4220 4357 4853 5275 8714 9706 10550 17428 19412 21100 21785 24265 43570 48530 87140 97060 100211 108925 121325 200422 217850 242650 400844 435700 485300 501055 919327 1002110 1838654 2004220 2505275 3677308 4596635 5010550 9193270 10021100 18386540 21144521 22983175 42289042 45966350 84578084 91932700 105722605 211445210 422890420 528613025 1057226050 2114452100