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2667229056 = 273221110973
BaseRepresentation
bin1001111011111010…
…1010111110000000
320212212212021102100
42132332222332000
520430302312211
61120355550400
7123045034002
oct23676527600
96785767370
102667229056
111149643738
126252bb400
1333678145b
141b4342372
15109260156
hex9efaaf80

2667229056 has 96 divisors (see below), whose sum is σ = 7712307720. Its totient is φ = 884782080.

The previous prime is 2667229051. The next prime is 2667229067. The reversal of 2667229056 is 6509227662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26672290562 = 14228221674341302272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2667229051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237586 + ... + 248558.

Almost surely, 22667229056 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 2667229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856153860).

2667229056 is an abundant number, since it is smaller than the sum of its proper divisors (5045078664).

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

2667229056 is a wasteful number, since it uses less digits than its factorization.

2667229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 11189 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2667229056 is about 51645.2229736691. Note that the first 3 decimals coincide. The cubic root of 2667229056 is about 1386.8200265952.

The spelling of 2667229056 in words is "two billion, six hundred sixty-seven million, two hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 211 288 384 422 576 633 844 1152 1266 1688 1899 2532 3376 3798 5064 6752 7596 10128 10973 13504 15192 20256 21946 27008 30384 32919 40512 43892 60768 65838 81024 87784 98757 121536 131676 175568 197514 243072 263352 351136 395028 526704 702272 790056 1053408 1404544 1580112 2106816 2315303 3160224 4213632 4630606 6320448 6945909 9261212 12640896 13891818 18522424 20837727 27783636 37044848 41675454 55567272 74089696 83350908 111134544 148179392 166701816 222269088 296358784 333403632 444538176 666807264 889076352 1333614528 2667229056