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2542022032 = 241114443307
BaseRepresentation
bin1001011110000100…
…0010110110010000
320120011021002200011
42113201002312100
520201224201112
61100124204304
7116664554644
oct22741026620
96504232604
102542022032
1110949a5860
125ab399694
13316853464
141a186cc24
15ed27baa7
hex97842d90

2542022032 has 20 divisors (see below), whose sum is σ = 5372910576. Its totient is φ = 1155464480.

The previous prime is 2542022003. The next prime is 2542022059. The reversal of 2542022032 is 2302202452.

It is a happy number.

It is a super-2 number, since 2×25420220322 = 12923752022346818048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2542021994 and 2542022012.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 7221478 + ... + 7221829.

Almost surely, 22542022032 is an apocalyptic number.

2542022032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2542022032 is an abundant number, since it is smaller than the sum of its proper divisors (2830888544).

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

2542022032 is a wasteful number, since it uses less digits than its factorization.

2542022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14443326 (or 14443320 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 2542022032 is about 50418.4691556576. The cubic root of 2542022032 is about 1364.7709512941.

Adding to 2542022032 its reverse (2302202452), we get a palindrome (4844224484).

The spelling of 2542022032 in words is "two billion, five hundred forty-two million, twenty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 14443307 28886614 57773228 115546456 158876377 231092912 317752754 635505508 1271011016 2542022032