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2722327056 = 24351514637
BaseRepresentation
bin1010001001000011…
…0110101000010000
321000201112112200000
42202100312220100
521033403431211
61130044530000
7124314253401
oct24220665020
97021475600
102722327056
111177756679
1263b850900
13345003117
141bb7a59a8
1510dee5656
hexa2436a10

2722327056 has 120 divisors (see below), whose sum is σ = 7954949184. Its totient is φ = 901238400.

The previous prime is 2722327051. The next prime is 2722327067. The reversal of 2722327056 is 6507232272.

It is a super-2 number, since 2×27223270562 = 14822129199659254272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2722327056.

It is not an unprimeable number, because it can be changed into a prime (2722327051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584770 + ... + 589406.

Almost surely, 22722327056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2722327056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977474592).

2722327056 is an abundant number, since it is smaller than the sum of its proper divisors (5232622128).

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

2722327056 is a wasteful number, since it uses less digits than its factorization.

2722327056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4793 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 2722327056 is about 52175.9241029807. The cubic root of 2722327056 is about 1396.3043783114.

The spelling of 2722327056 in words is "two billion, seven hundred twenty-two million, three hundred twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 151 162 216 243 302 324 432 453 486 604 648 906 972 1208 1296 1359 1812 1944 2416 2718 3624 3888 4077 4637 5436 7248 8154 9274 10872 12231 13911 16308 18548 21744 24462 27822 32616 36693 37096 41733 48924 55644 65232 73386 74192 83466 97848 111288 125199 146772 166932 195696 222576 250398 293544 333864 375597 500796 587088 667728 700187 751194 1001592 1126791 1400374 1502388 2003184 2100561 2253582 2800748 3004776 4201122 4507164 5601496 6009552 6301683 8402244 9014328 11202992 12603366 16804488 18028656 18905049 25206732 33608976 37810098 50413464 56715147 75620196 100826928 113430294 151240392 170145441 226860588 302480784 340290882 453721176 680581764 907442352 1361163528 2722327056