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1999922400 = 25345274409
BaseRepresentation
bin111011100110100…
…0110010011100000
312011101012120210000
41313031012103200
513043440004100
6530241140000
7100363026360
oct16715062340
95141176700
101999922400
119369a4333
1247992a600
1325b44ac48
1414d8789a0
15ba899900
hex773464e0

1999922400 has 360 divisors, whose sum is σ = 8337122640. Its totient is φ = 457021440.

The previous prime is 1999922399. The next prime is 1999922413. The reversal of 1999922400 is 42299991.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 451396 + ... + 455804.

It is an arithmetic number, because the mean of its divisors is an integer number (23158674).

Almost surely, 21999922400 is an apocalyptic number.

1999922400 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 1999922400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168561320).

1999922400 is an abundant number, since it is smaller than the sum of its proper divisors (6337200240).

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

1999922400 is a wasteful number, since it uses less digits than its factorization.

1999922400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4448 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1999922400 is about 44720.4919472047. The cubic root of 1999922400 is about 1259.9047547052.

The spelling of 1999922400 in words is "one billion, nine hundred ninety-nine million, nine hundred twenty-two thousand, four hundred".