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114322296 = 233113161229
BaseRepresentation
bin1101101000001…
…10101101111000
321222010011201010
412310012231320
5213231303141
615202153520
72555503104
oct664065570
9258104633
10114322296
1159594040
12323528a0
131a8b983a
141127c904
15a083416
hex6d06b78

114322296 has 128 divisors (see below), whose sum is σ = 328550400. Its totient is φ = 32832000.

The previous prime is 114322277. The next prime is 114322339. The reversal of 114322296 is 692223411.

It is a super-3 number, since 3×1143222963 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499110 + ... + 499338.

It is an arithmetic number, because the mean of its divisors is an integer number (2566800).

Almost surely, 2114322296 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 114322296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164275200).

114322296 is an abundant number, since it is smaller than the sum of its proper divisors (214228104).

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

114322296 is a wasteful number, since it uses less digits than its factorization.

114322296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 337 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 114322296 is about 10692.1604926226. The cubic root of 114322296 is about 485.3372734622.

The spelling of 114322296 in words is "one hundred fourteen million, three hundred twenty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 61 62 66 88 93 122 124 132 183 186 229 244 248 264 341 366 372 458 488 671 682 687 732 744 916 1023 1342 1364 1374 1464 1832 1891 2013 2046 2519 2684 2728 2748 3782 4026 4092 5038 5368 5496 5673 7099 7557 7564 8052 8184 10076 11346 13969 14198 15114 15128 16104 20152 20801 21297 22692 27938 28396 30228 41602 41907 42594 45384 55876 56792 60456 62403 78089 83204 83814 85188 111752 124806 153659 156178 166408 167628 170376 234267 249612 307318 312356 335256 433039 460977 468534 499224 614636 624712 866078 921954 937068 1229272 1299117 1732156 1843908 1874136 2598234 3464312 3687816 4763429 5196468 9526858 10392936 14290287 19053716 28580574 38107432 57161148 114322296