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2295331668 = 223474761353
BaseRepresentation
bin1000100011001111…
…1111101101010100
312220222001221010000
42020303333231110
514200101103133
61015432531300
7110610666030
oct21063775524
95828057100
102295331668
11a78722723
12540850b30
132a76cc326
1417abb51c0
15d679d413
hex88cffb54

2295331668 has 240 divisors, whose sum is σ = 7138543104. Its totient is φ = 629544960.

The previous prime is 2295331609. The next prime is 2295331669. The reversal of 2295331668 is 8661335922.

2295331668 is a `hidden beast` number, since 229 + 53 + 316 + 68 = 666.

It is a super-2 number, since 2×22953316682 = 10537094932247324448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2295331669) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6502180 + ... + 6502532.

Almost surely, 22295331668 is an apocalyptic number.

2295331668 is a gapful number since it is divisible by the number (28) 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 2295331668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569271552).

2295331668 is an abundant number, since it is smaller than the sum of its proper divisors (4843211436).

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

2295331668 is a wasteful number, since it uses less digits than its factorization.

2295331668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 473 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2295331668 is about 47909.6197855921. The cubic root of 2295331668 is about 1319.1124405346.

The spelling of 2295331668 in words is "two billion, two hundred ninety-five million, three hundred thirty-one thousand, six hundred sixty-eight".