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2093347200 = 27352731151
BaseRepresentation
bin111110011000101…
…1111000110000000
312101220000001111210
41330301133012000
513241344102300
6543415410120
7102606105030
oct17461370600
95356001453
102093347200
1198470480a
124a5083940
132748cb9a9
1415c0378c0
15c3ba1050
hex7cc5f180

2093347200 has 192 divisors, whose sum is σ = 7880209920. Its totient is φ = 478464000.

The previous prime is 2093347181. The next prime is 2093347219. The reversal of 2093347200 is 27433902.

It is an interprime number because it is at equal distance from previous prime (2093347181) and next prime (2093347219).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51625 + ... + 82775.

It is an arithmetic number, because the mean of its divisors is an integer number (41042760).

Almost surely, 22093347200 is an apocalyptic number.

2093347200 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 2093347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940104960).

2093347200 is an abundant number, since it is smaller than the sum of its proper divisors (5786862720).

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

2093347200 is a wasteful number, since it uses less digits than its factorization.

2093347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31185 (or 31168 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 2093347200 is about 45753.1113696107. Note that the first 3 decimals coincide. The cubic root of 2093347200 is about 1279.2254428507.

The spelling of 2093347200 in words is "two billion, ninety-three million, three hundred forty-seven thousand, two hundred".