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2214051968 = 2741592
BaseRepresentation
bin1000001111110111…
…1100000010000000
312201022010111022202
42003331330002000
514013244130333
61003410452332
7105603063002
oct20375740200
95638114282
102214051968
11a36858017
125195940a8
1329391162b
14170098372
15ce5955e8
hex83f7c080

2214051968 has 24 divisors (see below), whose sum is σ = 4411867455. Its totient is φ = 1106759808.

The previous prime is 2214051943. The next prime is 2214051971. The reversal of 2214051968 is 8691504122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1107025984 + 1107025984 = 33272^2 + 33272^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33272.

It is a super-2 number, since 2×22140519682 = 9804052234009346048, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 530273 + ... + 534431.

Almost surely, 22214051968 is an apocalyptic number.

It is an amenable number.

2214051968 is a deficient number, since it is larger than the sum of its proper divisors (2197815487).

2214051968 is an frugal number, since it uses more digits than its factorization.

2214051968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8332 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 2214051968 is about 47053.7136472776. The cubic root of 2214051968 is about 1303.3546432124.

The spelling of 2214051968 in words is "two billion, two hundred fourteen million, fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 4159 8318 16636 33272 66544 133088 266176 532352 17297281 34594562 69189124 138378248 276756496 553512992 1107025984 2214051968