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2897225136 = 24321321747149
BaseRepresentation
bin1010110010110000…
…0010010110110000
321110220122021201200
42230230002112300
521413142201021
61155253331200
7131540002341
oct25454022660
97426567650
102897225136
111257454143
1268a336b00
1337230ba00
141d6ad20c8
1511e542126
hexacb025b0

2897225136 has 360 divisors, whose sum is σ = 9557870400. Its totient is φ = 815652864.

The previous prime is 2897225131. The next prime is 2897225137. The reversal of 2897225136 is 6315227982.

2897225136 is a `hidden beast` number, since 28 + 97 + 22 + 513 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2897225091 and 2897225100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2897225131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19444390 + ... + 19444538.

It is an arithmetic number, because the mean of its divisors is an integer number (26549640).

Almost surely, 22897225136 is an apocalyptic number.

2897225136 is a gapful number since it is divisible by the number (26) 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 2897225136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778935200).

2897225136 is an abundant number, since it is smaller than the sum of its proper divisors (6660645264).

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

2897225136 is a wasteful number, since it uses less digits than its factorization.

2897225136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 2897225136 is about 53825.8779398906. The cubic root of 2897225136 is about 1425.5881656974.

The spelling of 2897225136 in words is "two billion, eight hundred ninety-seven million, two hundred twenty-five thousand, one hundred thirty-six".