Search a number
-
+
2211001000092 = 223292966110543
BaseRepresentation
bin100000001011001001111…
…011011110000010011100
321211100222110110020120100
4200023021323132002130
5242211112224000332
64411415252421100
7315511444261443
oct40131173360234
97740873406510
102211001000092
117827534731a5
122b860b917790
1313065ba6b151
1479027a21d5a
153c7a713c67c
hex202c9ede09c

2211001000092 has 36 divisors (see below), whose sum is σ = 5594935338720. Its totient is φ = 736206995712.

The previous prime is 2211001000073. The next prime is 2211001000099. The reversal of 2211001000092 is 2900001001122.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211001000099) 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 11 ways as a sum of consecutive naturals, for example, 33021828 + ... + 33088715.

It is an arithmetic number, because the mean of its divisors is an integer number (155414870520).

Almost surely, 22211001000092 is an apocalyptic number.

It is an amenable number.

2211001000092 is an abundant number, since it is smaller than the sum of its proper divisors (3383934338628).

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

2211001000092 is a wasteful number, since it uses less digits than its factorization.

2211001000092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66111482 (or 66111477 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 2211001000092 in words is "two trillion, two hundred eleven billion, one million, ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 929 1858 2787 3716 5574 8361 11148 16722 33444 66110543 132221086 198331629 264442172 396663258 594994887 793326516 1189989774 2379979548 61416694447 122833388894 184250083341 245666777788 368500166682 552750250023 737000333364 1105500500046 2211001000092