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2197872131 = 71331779111
BaseRepresentation
bin1000001100000000…
…1101111000000011
312200011200110202112
42003000031320003
514000123402011
61002032005535
7105315414320
oct20300157003
95604613675
102197872131
11a28706954
125140908ab
13290467c70
1416bc85b47
15cce4b58b
hex8300de03

2197872131 has 16 divisors (see below), whose sum is σ = 2792337408. Its totient is φ = 1682877600.

The previous prime is 2197872119. The next prime is 2197872133. The reversal of 2197872131 is 1312787912.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2197872131 - 214 = 2197855747 is a prime.

It is a super-2 number, since 2×21978721312 = 9661283808452962322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (2197872133) 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 15 ways as a sum of consecutive naturals, for example, 386735 + ... + 392376.

It is an arithmetic number, because the mean of its divisors is an integer number (174521088).

Almost surely, 22197872131 is an apocalyptic number.

2197872131 is a deficient number, since it is larger than the sum of its proper divisors (594465277).

2197872131 is a wasteful number, since it uses less digits than its factorization.

2197872131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779162.

The product of its digits is 42336, while the sum is 41.

The square root of 2197872131 is about 46881.4689509619. The cubic root of 2197872131 is about 1300.1719951921.

The spelling of 2197872131 in words is "two billion, one hundred ninety-seven million, eight hundred seventy-two thousand, one hundred thirty-one".

Divisors: 1 7 13 31 91 217 403 2821 779111 5453777 10128443 24152441 70899101 169067087 313981733 2197872131