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2123352000 = 263253711383
BaseRepresentation
bin111111010001111…
…1100011111000000
312110222110110100200
41332203330133000
513322034231000
6550410445200
7103422123420
oct17643743700
95428413320
102123352000
1199a638870
124b3133800
1327aba5c03
14162008480
15c662b500
hex7e8fc7c0

2123352000 has 672 divisors, whose sum is σ = 9494544384. Its totient is φ = 440064000.

The previous prime is 2123351999. The next prime is 2123352017. The reversal of 2123352000 is 2533212.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5543809 + ... + 5544191.

Almost surely, 22123352000 is an apocalyptic number.

2123352000 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 2123352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747272192).

2123352000 is an abundant number, since it is smaller than the sum of its proper divisors (7371192384).

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

2123352000 is a wasteful number, since it uses less digits than its factorization.

2123352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2123352000 is about 46079.8437497351. The cubic root of 2123352000 is about 1285.3083586262.

Adding to 2123352000 its reverse (2533212), we get a palindrome (2125885212).

The spelling of 2123352000 in words is "two billion, one hundred twenty-three million, three hundred fifty-two thousand".