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2272146240 = 263571331839
BaseRepresentation
bin1000011101101110…
…0011001101000000
312212100102222200110
42013123203031000
514123132134430
61013243551320
7110206632030
oct20733431500
95770388613
102272146240
11a66627111
12534b2b540
132a2972040
14177a9b8c0
15d471d7b0
hex876e3340

2272146240 has 448 divisors, whose sum is σ = 9176186880. Its totient is φ = 463380480.

The previous prime is 2272146223. The next prime is 2272146251. The reversal of 2272146240 is 426412722.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×22721462402 = 10325297071892275200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2272146198 and 2272146207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2707741 + ... + 2708579.

It is an arithmetic number, because the mean of its divisors is an integer number (20482560).

Almost surely, 22272146240 is an apocalyptic number.

2272146240 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 2272146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588093440).

2272146240 is an abundant number, since it is smaller than the sum of its proper divisors (6904040640).

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

2272146240 is a wasteful number, since it uses less digits than its factorization.

2272146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2272146240 is about 47667.0351500909. The cubic root of 2272146240 is about 1314.6558955451.

Adding to 2272146240 its reverse (426412722), we get a palindrome (2698558962).

The spelling of 2272146240 in words is "two billion, two hundred seventy-two million, one hundred forty-six thousand, two hundred forty".