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2173290000 = 24354779131
BaseRepresentation
bin1000000110001001…
…1100011000010000
312121110102120102020
42001202130120100
513422330240000
6555353051440
7104566442310
oct20142343020
95543376366
102173290000
11a15846a42
125079b6b80
1328833c01b
141688c7440
15cabe2ba0
hex8189c610

2173290000 has 400 divisors, whose sum is σ = 8181381120. Its totient is φ = 486720000.

The previous prime is 2173289969. The next prime is 2173290017. The reversal of 2173290000 is 923712.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16589935 + ... + 16590065.

Almost surely, 22173290000 is an apocalyptic number.

2173290000 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 2173290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4090690560).

2173290000 is an abundant number, since it is smaller than the sum of its proper divisors (6008091120).

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

2173290000 is a wasteful number, since it uses less digits than its factorization.

2173290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 2173290000 is about 46618.5585362739. The cubic root of 2173290000 is about 1295.3065467905.

The spelling of 2173290000 in words is "two billion, one hundred seventy-three million, two hundred ninety thousand".