Search a number
-
+
2212142114004 = 223199702377693
BaseRepresentation
bin100000001100001101111…
…100011110010011010100
321211110220222122211120120
4200030031330132103110
5242220431340122004
64412124414431540
7315551641502244
oct40141574362324
97743828584516
102212142114004
11783189609a49
122b8889b025b0
131307b12b5694
14790d53c3b24
153c8223e53d9
hex2030df1e4d4

2212142114004 has 24 divisors (see below), whose sum is σ = 5433331508640. Its totient is φ = 698571193824.

The previous prime is 2212142113957. The next prime is 2212142114027. The reversal of 2212142114004 is 4004112412122.

It is a happy number.

It is a super-2 number, since 2×22121421140042 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4851188619 + ... + 4851189074.

It is an arithmetic number, because the mean of its divisors is an integer number (226388812860).

Almost surely, 22212142114004 is an apocalyptic number.

It is an amenable number.

2212142114004 is an abundant number, since it is smaller than the sum of its proper divisors (3221189394636).

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

2212142114004 is a wasteful number, since it uses less digits than its factorization.

2212142114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9702377719 (or 9702377717 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 2212142114004 its reverse (4004112412122), we get a palindrome (6216254526126).

The spelling of 2212142114004 in words is "two trillion, two hundred twelve billion, one hundred forty-two million, one hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 9702377693 19404755386 29107133079 38809510772 58214266158 116428532316 184345176167 368690352334 553035528501 737380704668 1106071057002 2212142114004