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2214101124 = 2232197312197
BaseRepresentation
bin1000001111111000…
…1000000010000100
312201022012222202100
42003332020002010
514013302213444
61003411512100
7105603356214
oct20376100204
95638188670
102214101124
11a36890a44
125195b8630
1329392ab11
141700ac244
15ce5a4e69
hex83f88084

2214101124 has 36 divisors (see below), whose sum is σ = 5625183564. Its totient is φ = 734284992.

The previous prime is 2214101101. The next prime is 2214101137. The reversal of 2214101124 is 4211014122.

2214101124 is a `hidden beast` number, since 221 + 410 + 11 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1727898624 + 486202500 = 41568^2 + 22050^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 2214101097 and 2214101106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 149007 + ... + 163190.

It is an arithmetic number, because the mean of its divisors is an integer number (156255099).

Almost surely, 22214101124 is an apocalyptic number.

It is an amenable number.

2214101124 is an abundant number, since it is smaller than the sum of its proper divisors (3411082440).

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

2214101124 is a wasteful number, since it uses less digits than its factorization.

2214101124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312404 (or 312399 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2214101124 is about 47054.2359835966. The cubic root of 2214101124 is about 1303.3642887594.

Adding to 2214101124 its reverse (4211014122), we get a palindrome (6425115246).

The spelling of 2214101124 in words is "two billion, two hundred fourteen million, one hundred one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 312197 624394 936591 1248788 1873182 2809773 3746364 5619546 11239092 61502809 123005618 184508427 246011236 369016854 553525281 738033708 1107050562 2214101124