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2031194880 = 283451113137
BaseRepresentation
bin111100100010001…
…1001001100000000
312020120001101120000
41321010121030000
513124441214010
6533315320000
7101222604651
oct17104311400
95216041500
102031194880
11952613860
124882b0000
13264a7a180
14153a99528
15bd4c57c0
hex79119300

2031194880 has 720 divisors, whose sum is σ = 8600939424. Its totient is φ = 451215360.

The previous prime is 2031194849. The next prime is 2031194881. The reversal of 2031194880 is 884911302.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2031194881) 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 79 ways as a sum of consecutive naturals, for example, 14826172 + ... + 14826308.

Almost surely, 22031194880 is an apocalyptic number.

2031194880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300469712).

2031194880 is an abundant number, since it is smaller than the sum of its proper divisors (6569744544).

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

2031194880 is a wasteful number, since it uses less digits than its factorization.

2031194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 2031194880 is about 45068.7794376551. The cubic root of 2031194880 is about 1266.4377992159.

The spelling of 2031194880 in words is "two billion, thirty-one million, one hundred ninety-four thousand, eight hundred eighty".