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1994803200 = 21134521337
BaseRepresentation
bin111011011100110…
…0100100000000000
312011000120111120000
41312321210200000
513041132200300
6525535320000
7100301355525
oct16671444000
95130514500
101994803200
11934018195
12478080000
1325a377b30
1414cd0514c
15ba1d7c00
hex76e64800

1994803200 has 720 divisors, whose sum is σ = 8171703540. Its totient is φ = 477757440.

The previous prime is 1994803147. The next prime is 1994803211. The reversal of 1994803200 is 23084991.

It can be written as a sum of positive squares in 6 ways, for example, as 780420096 + 1214383104 = 27936^2 + 34848^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53913582 + ... + 53913618.

Almost surely, 21994803200 is an apocalyptic number.

1994803200 is a gapful number since it is divisible by the number (10) 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 1994803200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085851770).

1994803200 is an abundant number, since it is smaller than the sum of its proper divisors (6176900340).

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

1994803200 is a wasteful number, since it uses less digits than its factorization.

1994803200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1994803200 is about 44663.2197675000. The cubic root of 1994803200 is about 1258.8288437331.

It can be divided in two parts, 1994803 and 200, that added together give a triangular number (1995003 = T1997).

The spelling of 1994803200 in words is "one billion, nine hundred ninety-four million, eight hundred three thousand, two hundred".