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2295095040 = 28335753179
BaseRepresentation
bin1000100011001100…
…0101111100000000
312220221121220112000
42020303011330000
514200021020130
61015423504000
7110605662120
oct21063057400
95827556460
102295095040
11a78580967
12540758000
132a7648704
1417ab52c80
15d6753260
hex88cc5f00

2295095040 has 576 divisors, whose sum is σ = 9536486400. Its totient is φ = 511819776.

The previous prime is 2295095017. The next prime is 2295095041. The reversal of 2295095040 is 405905922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×22950950402 = 10534922485265203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2295094986 and 2295095004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2295095041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12821671 + ... + 12821849.

It is an arithmetic number, because the mean of its divisors is an integer number (16556400).

Almost surely, 22295095040 is an apocalyptic number.

2295095040 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 2295095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768243200).

2295095040 is an abundant number, since it is smaller than the sum of its proper divisors (7241391360).

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

2295095040 is a wasteful number, since it uses less digits than its factorization.

2295095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2295095040 is about 47907.1501970217. The cubic root of 2295095040 is about 1319.0671094437.

The spelling of 2295095040 in words is "two billion, two hundred ninety-five million, ninety-five thousand, forty".