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2166450000 = 243551113101
BaseRepresentation
bin1000000100100001…
…0110011101010000
312120222120001200220
42001020112131100
513414102400000
6554550313040
7104454343521
oct20110263520
95528501626
102166450000
11a119a4a50
12505658780
13286ab58a0
14167a26848
15ca2e11a0
hex81216750

2166450000 has 480 divisors, whose sum is σ = 8299718784. Its totient is φ = 480000000.

The previous prime is 2166449983. The next prime is 2166450031. The reversal of 2166450000 is 546612.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21449950 + ... + 21450050.

Almost surely, 22166450000 is an apocalyptic number.

2166450000 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 2166450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149859392).

2166450000 is an abundant number, since it is smaller than the sum of its proper divisors (6133268784).

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

2166450000 is a wasteful number, since it uses less digits than its factorization.

2166450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2166450000 is about 46545.1393810353. The cubic root of 2166450000 is about 1293.9462116933.

Adding to 2166450000 its reverse (546612), we get a palindrome (2166996612).

The spelling of 2166450000 in words is "two billion, one hundred sixty-six million, four hundred fifty thousand".