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2123554000 = 245319294147
BaseRepresentation
bin111111010010010…
…1101110011010000
312110222211201110011
41332210231303100
513322112212000
6550415044304
7103423624351
oct17644556320
95428751404
102123554000
1199a766607
124b3210694
1327ac46b39
1416205bd28
15c666b2ba
hex7e92dcd0

2123554000 has 320 divisors, whose sum is σ = 5849625600. Its totient is φ = 741888000.

The previous prime is 2123553989. The next prime is 2123554003. The reversal of 2123554000 is 4553212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123554003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 45181977 + ... + 45182023.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 22123554000 is an apocalyptic number.

2123554000 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 2123554000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

2123554000 is an abundant number, since it is smaller than the sum of its proper divisors (3726071600).

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

2123554000 is a wasteful number, since it uses less digits than its factorization.

2123554000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2123554000 is about 46082.0355453185. The cubic root of 2123554000 is about 1285.3491155765.

The spelling of 2123554000 in words is "two billion, one hundred twenty-three million, five hundred fifty-four thousand".