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2149425600 = 263527175371
BaseRepresentation
bin1000000000011101…
…1010000111000000
312112210112010121120
42000013122013000
513400223104400
6553141352240
7104156546640
oct20007320700
95483463546
102149425600
11a033272a3
124bba08680
1328340498a
14165674520
15c8a7bca0
hex801da1c0

2149425600 has 672 divisors, whose sum is σ = 8816864256. Its totient is φ = 447283200.

The previous prime is 2149425587. The next prime is 2149425611. The reversal of 2149425600 is 65249412.

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

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, 30273565 + ... + 30273635.

Almost surely, 22149425600 is an apocalyptic number.

2149425600 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 2149425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408432128).

2149425600 is an abundant number, since it is smaller than the sum of its proper divisors (6667438656).

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

2149425600 is a wasteful number, since it uses less digits than its factorization.

2149425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 2149425600 is about 46361.8981492346. The cubic root of 2149425600 is about 1290.5479314044.

The spelling of 2149425600 in words is "two billion, one hundred forty-nine million, four hundred twenty-five thousand, six hundred".