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2422509961 = 8325932
BaseRepresentation
bin1001000001100100…
…1001000110001001
320020211101020221011
42100121021012021
514430130304321
61040214443521
7114013665154
oct22031110611
96224336834
102422509961
111033497653
125773635a1
132c7b6a661
1418da3cc9b
15e2a20ae1
hex90649189

2422509961 has 9 divisors (see below), whose sum is σ = 2456190439. Its totient is φ = 2389287136.

The previous prime is 2422509959. The next prime is 2422509997. The reversal of 2422509961 is 1699052242.

The square root of 2422509961 is 49219.

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., 1489574025 + 932935936 = 38595^2 + 30544^2 .

It is not a de Polignac number, because 2422509961 - 21 = 2422509959 is a prime.

It is a super-2 number, since 2×24225099612 = 11737109022288443042, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2422509941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4084881 + ... + 4085473.

Almost surely, 22422509961 is an apocalyptic number.

2422509961 is the 49219-th square number.

2422509961 is the 24610-th centered octagonal number.

It is an amenable number.

2422509961 is a deficient number, since it is larger than the sum of its proper divisors (33680478).

2422509961 is an frugal number, since it uses more digits than its factorization.

2422509961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The cubic root of 2422509961 is about 1343.0386897098.

The spelling of 2422509961 in words is "two billion, four hundred twenty-two million, five hundred nine thousand, nine hundred sixty-one".

Divisors: 1 83 593 6889 49219 351649 4085177 29186867 2422509961