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2272198656 = 2163713127
BaseRepresentation
bin1000011101101111…
…0000000000000000
312212100112122120210
42013123300000000
514123140324111
61013245034120
7110210240610
oct20733600000
95770478523
102272198656
11a66662532
12534b55940
132a298cb60
14177ab2a40
15d472e0a6
hex876f0000

2272198656 has 272 divisors, whose sum is σ = 7516135424. Its totient is φ = 594542592.

The previous prime is 2272198627. The next prime is 2272198679. The reversal of 2272198656 is 6568912722.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17891265 + ... + 17891391.

Almost surely, 22272198656 is an apocalyptic number.

2272198656 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 2272198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758067712).

2272198656 is an abundant number, since it is smaller than the sum of its proper divisors (5243936768).

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

2272198656 is an equidigital number, since it uses as much as digits as its factorization.

2272198656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 2272198656 is about 47667.5849608515. The cubic root of 2272198656 is about 1314.6660047056. Note that the first 3 decimals are identical.

The spelling of 2272198656 in words is "two billion, two hundred seventy-two million, one hundred ninety-eight thousand, six hundred fifty-six".