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2142544224 = 25367333107
BaseRepresentation
bin111111110110100…
…1010000101100000
312112022120112010210
41333231022011200
513341442403344
6552334054120
7104044216422
oct17755120540
95468515123
102142544224
119aa457207
124b964a340
13281b65762
141647a2812
15c816cdb9
hex7fb4a160

2142544224 has 48 divisors (see below), whose sum is σ = 5708138688. Its totient is φ = 703519872.

The previous prime is 2142544207. The next prime is 2142544279. The reversal of 2142544224 is 4224452412.

2142544224 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2142544191 and 2142544200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160122 + ... + 172985.

It is an arithmetic number, because the mean of its divisors is an integer number (118919556).

Almost surely, 22142544224 is an apocalyptic number.

2142544224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2142544224 is an abundant number, since it is smaller than the sum of its proper divisors (3565594464).

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

2142544224 is a wasteful number, since it uses less digits than its factorization.

2142544224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333187 (or 333179 counting only the distinct ones).

The product of its digits is 20480, while the sum is 30.

The square root of 2142544224 is about 46287.6249552729. The cubic root of 2142544224 is about 1289.1692313343.

Adding to 2142544224 its reverse (4224452412), we get a palindrome (6366996636).

The spelling of 2142544224 in words is "two billion, one hundred forty-two million, five hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 333107 666214 999321 1332428 1998642 2664856 3997284 5329712 7994568 10659424 15989136 22318169 31978272 44636338 66954507 89272676 133909014 178545352 267818028 357090704 535636056 714181408 1071272112 2142544224