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2290685277001 = 11222326172
BaseRepresentation
bin100001010101010111011…
…110110111001101001001
322002222122210110220220111
4201111113132313031021
5300012310412331001
64512154251154321
7324332213406532
oct41252736671511
98088583426814
102290685277001
11803524136900
1230bb49a459a1
1313801a65b664
147cc26893689
153e8bca43851
hex215577b7349

2290685277001 has 27 divisors (see below), whose sum is σ = 2533307999943. Its totient is φ = 2069742887520.

The previous prime is 2290685276987. The next prime is 2290685277037. The reversal of 2290685277001 is 1007725860922.

The square root of 2290685277001 is 1513501.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66339729225 + 2224345547776 = 257565^2 + 1491424^2 .

It is not a de Polignac number, because 2290685277001 - 211 = 2290685274953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2290685277061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3712617645 + ... + 3712618261.

Almost surely, 22290685277001 is an apocalyptic number.

2290685277001 is the 1513501-st square number.

2290685277001 is the 756751-st centered octagonal number.

It is an amenable number.

2290685277001 is a deficient number, since it is larger than the sum of its proper divisors (242622722942).

2290685277001 is an frugal number, since it uses more digits than its factorization.

2290685277001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 49.

Multiplying 2290685277001 by its sum of digits (49), we get a square (112243578573049 = 105945072).

The spelling of 2290685277001 in words is "two trillion, two hundred ninety billion, six hundred eighty-five million, two hundred seventy-seven thousand, one".

Divisors: 1 11 121 223 617 2453 6787 26983 49729 74657 137591 380689 547019 1513501 4187579 6017209 16648511 30682793 46063369 84893647 337510723 933830117 3712617953 10272131287 18931283281 208244116091 2290685277001