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2290406682228 = 223727266746217
BaseRepresentation
bin100001010101000110111…
…000000110111001110100
322002221221101020211201120
4201111012320012321310
5300011223102312403
64512110500023540
7324322261401060
oct41250670067164
98087841224646
102290406682228
118033a0952495
1230ba90691bb0
13137ca4a16792
147cbdb892aa0
153e8a3361e53
hex21546e06e74

2290406682228 has 24 divisors (see below), whose sum is σ = 6107751152832. Its totient is φ = 654401909184.

The previous prime is 2290406682181. The next prime is 2290406682241. The reversal of 2290406682228 is 8222866040922.

It is a super-3 number, since 3×22904066822283 (a number of 38 digits) contains 333 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, 13633373025 + ... + 13633373192.

It is an arithmetic number, because the mean of its divisors is an integer number (254489631368).

Almost surely, 22290406682228 is an apocalyptic number.

2290406682228 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2290406682228 is an abundant number, since it is smaller than the sum of its proper divisors (3817344470604).

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

2290406682228 is a wasteful number, since it uses less digits than its factorization.

2290406682228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27266746231 (or 27266746229 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 2290406682228 in words is "two trillion, two hundred ninety billion, four hundred six million, six hundred eighty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 27266746217 54533492434 81800238651 109066984868 163600477302 190867223519 327200954604 381734447038 572601670557 763468894076 1145203341114 2290406682228