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2420221023 = 3211232371249
BaseRepresentation
bin1001000001000001…
…1010010001011111
320020200001222002200
42100100122101133
514424034033043
61040053422543
7113655352653
oct22020322137
96220058080
102420221023
111032173970
1257663aa53
132c754885c
1418d604a63
15e271c7d3
hex9041a45f

2420221023 has 72 divisors (see below), whose sum is σ = 4097730000. Its totient is φ = 1364014080.

The previous prime is 2420221019. The next prime is 2420221033. The reversal of 2420221023 is 3201220242.

2420221023 is a `hidden beast` number, since 2 + 420 + 221 + 0 + 23 = 666.

It is not a de Polignac number, because 2420221023 - 22 = 2420221019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2420220987 and 2420221005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420221033) 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 71 ways as a sum of consecutive naturals, for example, 1937103 + ... + 1938351.

Almost surely, 22420221023 is an apocalyptic number.

2420221023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2420221023 is a deficient number, since it is larger than the sum of its proper divisors (1677508977).

2420221023 is a wasteful number, since it uses less digits than its factorization.

2420221023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2420221023 is about 49195.7419193979. The cubic root of 2420221023 is about 1342.6155609355.

Adding to 2420221023 its reverse (3201220242), we get a palindrome (5621441265).

The spelling of 2420221023 in words is "two billion, four hundred twenty million, two hundred twenty-one thousand, twenty-three".

Divisors: 1 3 9 11 23 33 37 69 99 111 207 253 333 407 529 759 851 1221 1249 1587 2277 2553 3663 3747 4761 5819 7659 9361 11241 13739 17457 19573 28083 28727 41217 46213 52371 58719 84249 86181 123651 138639 176157 215303 258543 315997 415917 508343 645909 660721 947991 1062899 1525029 1937727 1982163 2843973 3188697 4575087 5946489 7267931 9566091 11691889 21803793 24446677 35075667 65411379 73340031 105227001 220020093 268913447 806740341 2420221023