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2142012222 = 233722972467
BaseRepresentation
bin111111110101100…
…1000001100111110
312112021120111101000
41333223020030332
513341323342342
6552314431130
7104036542410
oct17753101476
95467514330
102142012222
119aa123539
124b94324a6
13281a0a56c
141646a49b0
15c80b544c
hex7fac833e

2142012222 has 64 divisors (see below), whose sum is σ = 5444605440. Its totient is φ = 611489088.

The previous prime is 2142012211. The next prime is 2142012227. The reversal of 2142012222 is 2222102412.

2142012222 is a `hidden beast` number, since 21 + 420 + 1 + 2 + 222 = 666.

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 = 2142012195 and 2142012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142012227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 867033 + ... + 869499.

It is an arithmetic number, because the mean of its divisors is an integer number (85071960).

Almost surely, 22142012222 is an apocalyptic number.

2142012222 is an abundant number, since it is smaller than the sum of its proper divisors (3302593218).

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

2142012222 is a wasteful number, since it uses less digits than its factorization.

2142012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 4776 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2142012222 is about 46281.8779005347. The cubic root of 2142012222 is about 1289.0625206030.

Adding to 2142012222 its reverse (2222102412), we get a palindrome (4364114634).

The spelling of 2142012222 in words is "two billion, one hundred forty-two million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 2297 2467 4594 4934 6891 7401 13782 14802 16079 17269 20673 22203 32158 34538 41346 44406 48237 51807 62019 66609 96474 103614 124038 133218 144711 155421 289422 310842 434133 466263 868266 932526 5666699 11333398 17000097 34000194 39666893 51000291 79333786 102000582 119000679 153000873 238001358 306001746 357002037 714004074 1071006111 2142012222