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114996224 = 210761263
BaseRepresentation
bin1101101101010…
…11010000000000
322000101102011102
412312223100000
5213414334344
615224433532
72564310650
oct666532000
9260342142
10114996224
1159a04402
12326188a8
131aa94505
14113b6360
15a167e4e
hex6dab400

114996224 has 88 divisors (see below), whose sum is σ = 268042368. Its totient is φ = 48291840.

The previous prime is 114996221. The next prime is 114996239. The reversal of 114996224 is 422699411.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114996221) 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 7 ways as a sum of consecutive naturals, for example, 437117 + ... + 437379.

It is an arithmetic number, because the mean of its divisors is an integer number (3045936).

Almost surely, 2114996224 is an apocalyptic number.

114996224 is a gapful number since it is divisible by the number (14) 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 114996224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134021184).

114996224 is an abundant number, since it is smaller than the sum of its proper divisors (153046144).

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

114996224 is an equidigital number, since it uses as much as digits as its factorization.

114996224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 333 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 114996224 is about 10723.6292364106. The cubic root of 114996224 is about 486.2890905941.

The spelling of 114996224 in words is "one hundred fourteen million, nine hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 263 427 448 488 512 526 854 896 976 1024 1052 1708 1792 1841 1952 2104 3416 3584 3682 3904 4208 6832 7168 7364 7808 8416 13664 14728 15616 16043 16832 27328 29456 31232 32086 33664 54656 58912 62464 64172 67328 109312 112301 117824 128344 134656 218624 224602 235648 256688 269312 437248 449204 471296 513376 898408 942592 1026752 1796816 1885184 2053504 3593632 4107008 7187264 8214016 14374528 16428032 28749056 57498112 114996224