Search a number
-
+
2214112032 = 253211698899
BaseRepresentation
bin1000001111111000…
…1010101100100000
312201022020112201100
42003332022230200
514013303041112
61003412034400
7105603433056
oct20376125440
95638215640
102214112032
11a36899160
12519602a00
13293932a82
141700b21d6
15ce5a82dc
hex83f8ab20

2214112032 has 72 divisors (see below), whose sum is σ = 6868789200. Its totient is φ = 670942080.

The previous prime is 2214112027. The next prime is 2214112111. The reversal of 2214112032 is 2302114122.

It is a happy number.

2214112032 is a `hidden beast` number, since 221 + 411 + 2 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2214111996 and 2214112014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346282 + ... + 352617.

It is an arithmetic number, because the mean of its divisors is an integer number (95399850).

Almost surely, 22214112032 is an apocalyptic number.

2214112032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2214112032 is an abundant number, since it is smaller than the sum of its proper divisors (4654677168).

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

2214112032 is a wasteful number, since it uses less digits than its factorization.

2214112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698926 (or 698915 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2214112032 is about 47054.3518922533. The cubic root of 2214112032 is about 1303.3664291425.

Adding to 2214112032 its reverse (2302114122), we get a palindrome (4516226154).

The spelling of 2214112032 in words is "two billion, two hundred fourteen million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 698899 1397798 2096697 2795596 4193394 5591192 6290091 7687889 8386788 11182384 12580182 15375778 16773576 22364768 23063667 25160364 30751556 33547152 46127334 50320728 61503112 67094304 69191001 92254668 100641456 123006224 138382002 184509336 201282912 246012448 276764004 369018672 553528008 738037344 1107056016 2214112032