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1997192900 = 2252175311393
BaseRepresentation
bin111011100001010…
…1011111011000100
312011012001220121102
41313002223323010
513042240133100
6530102435232
7100330600553
oct16702537304
95135056542
101997192900
119353aa64a
12478a32b18
1325aa03761
1414d367d9a
15ba50acd5
hex770abec4

1997192900 has 36 divisors (see below), whose sum is σ = 4336761492. Its totient is φ = 798351360.

The previous prime is 1997192863. The next prime is 1997192927. The reversal of 1997192900 is 92917991.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 200958976 + 1796233924 = 14176^2 + 42382^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169604 + ... + 180996.

It is an arithmetic number, because the mean of its divisors is an integer number (120465597).

Almost surely, 21997192900 is an apocalyptic number.

1997192900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1997192900 is an abundant number, since it is smaller than the sum of its proper divisors (2339568592).

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

1997192900 is a wasteful number, since it uses less digits than its factorization.

1997192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13160 (or 13153 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 47.

The square root of 1997192900 is about 44689.9641977928. The cubic root of 1997192900 is about 1259.3313198404.

The spelling of 1997192900 in words is "one billion, nine hundred ninety-seven million, one hundred ninety-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1753 3506 7012 8765 11393 17530 22786 35060 43825 45572 56965 87650 113930 175300 227860 284825 569650 1139300 19971929 39943858 79887716 99859645 199719290 399438580 499298225 998596450 1997192900