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2420221431 = 34124710211
BaseRepresentation
bin1001000001000001…
…1010010111110111
320020200001222122210
42100100122113313
514424034041211
61040053424503
7113655354105
oct22020322767
96220058583
102420221431
111032174201
1257663b133
132c7548ab4
1418d604c75
15e271c9a6
hex9041a5f7

2420221431 has 24 divisors (see below), whose sum is σ = 3378292992. Its totient is φ = 1540484800.

The previous prime is 2420221423. The next prime is 2420221459. The reversal of 2420221431 is 1341220242.

It is not a de Polignac number, because 2420221431 - 23 = 2420221423 is a prime.

It is a super-2 number, since 2×24202214312 = 11714943550143375522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2420221398 and 2420221407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420221631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231916 + ... + 242126.

It is an arithmetic number, because the mean of its divisors is an integer number (140762208).

Almost surely, 22420221431 is an apocalyptic number.

2420221431 is a deficient number, since it is larger than the sum of its proper divisors (958071561).

2420221431 is a wasteful number, since it uses less digits than its factorization.

2420221431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10302 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2420221431 is about 49195.7460660980. The cubic root of 2420221431 is about 1342.6156363814.

Adding to 2420221431 its reverse (1341220242), we get a palindrome (3761441673).

The spelling of 2420221431 in words is "two billion, four hundred twenty million, two hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 3 41 47 123 141 1681 1927 5043 5781 10211 30633 79007 237021 418651 479917 1255953 1439751 17164691 19676597 51494073 59029791 806740477 2420221431