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2144314100 = 225221443141
BaseRepresentation
bin111111111001111…
…1010001011110100
312112102220102221202
41333303322023310
513342421022400
6552440032032
7104065240415
oct17763721364
95472812852
102144314100
11a00455a15
124ba162618
13282335216
14164b0380c
15c83bc4d5
hex7fcfa2f4

2144314100 has 18 divisors (see below), whose sum is σ = 4653161814. Its totient is φ = 857725600.

The previous prime is 2144314099. The next prime is 2144314147. The reversal of 2144314100 is 14134412.

It can be written as a sum of positive squares in 3 ways, for example, as 737013904 + 1407300196 = 27148^2 + 37514^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10721471 + ... + 10721670.

Almost surely, 22144314100 is an apocalyptic number.

2144314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144314100 is an abundant number, since it is smaller than the sum of its proper divisors (2508847714).

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

2144314100 is a wasteful number, since it uses less digits than its factorization.

2144314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21443155 (or 21443148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2144314100 is about 46306.7392503510. The cubic root of 2144314100 is about 1289.5241118664.

Adding to 2144314100 its reverse (14134412), we get a palindrome (2158448512).

The spelling of 2144314100 in words is "two billion, one hundred forty-four million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21443141 42886282 85772564 107215705 214431410 428862820 536078525 1072157050 2144314100