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2420224461 = 33805311131
BaseRepresentation
bin1001000001000001…
…1011000111001101
320020200002010211000
42100100123013031
514424034140321
61040053450513
7113655365664
oct22020330715
96220063730
102420224461
111032176506
12576640a39
132c754a2a5
1418d605ddb
15e271d826
hex9041b1cd

2420224461 has 16 divisors (see below), whose sum is σ = 3586285120. Its totient is φ = 1613137680.

The previous prime is 2420224441. The next prime is 2420224463. The reversal of 2420224461 is 1644220242.

It is a de Polignac number, because none of the positive numbers 2k-2420224461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420224463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211866 + ... + 222996.

It is an arithmetic number, because the mean of its divisors is an integer number (224142820).

Almost surely, 22420224461 is an apocalyptic number.

It is an amenable number.

2420224461 is a deficient number, since it is larger than the sum of its proper divisors (1166060659).

2420224461 is a wasteful number, since it uses less digits than its factorization.

2420224461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19193 (or 19187 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2420224461 is about 49195.7768614339. The cubic root of 2420224461 is about 1342.6161966777.

The spelling of 2420224461 in words is "two billion, four hundred twenty million, two hundred twenty-four thousand, four hundred sixty-one".

Divisors: 1 3 9 27 8053 11131 24159 33393 72477 100179 217431 300537 89637943 268913829 806741487 2420224461