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2131669880 = 235170931183
BaseRepresentation
bin111111100001110…
…1011001101111000
312111120010001100022
41333003223031320
513331201414010
6551305030012
7103552615664
oct17703531570
95446101308
102131669880
119a42aa14a
124b5a85308
1327c828c32
141631718a4
15c7220d55
hex7f0eb378

2131669880 has 32 divisors (see below), whose sum is σ = 4799217600. Its totient is φ = 852141696.

The previous prime is 2131669879. The next prime is 2131669889. The reversal of 2131669880 is 889661312.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131669889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52769 + ... + 83951.

It is an arithmetic number, because the mean of its divisors is an integer number (149975550).

Almost surely, 22131669880 is an apocalyptic number.

2131669880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131669880 is an abundant number, since it is smaller than the sum of its proper divisors (2667547720).

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

2131669880 is a wasteful number, since it uses less digits than its factorization.

2131669880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32903 (or 32899 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 44.

The square root of 2131669880 is about 46170.0106129509. The cubic root of 2131669880 is about 1286.9844994427.

The spelling of 2131669880 in words is "two billion, one hundred thirty-one million, six hundred sixty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 1709 3418 6836 8545 13672 17090 31183 34180 62366 68360 124732 155915 249464 311830 623660 1247320 53291747 106583494 213166988 266458735 426333976 532917470 1065834940 2131669880