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114646224 = 24371131019
BaseRepresentation
bin1101101010101…
…01110011010000
321222201122001110
412311111303100
5213322134344
615213133320
72561322360
oct665256320
9258648043
10114646224
1159795450
123248a240
131a9a1104
14113249a0
15a0e93b9
hex6d55cd0

114646224 has 80 divisors (see below), whose sum is σ = 369262080. Its totient is φ = 29777280.

The previous prime is 114646201. The next prime is 114646253. The reversal of 114646224 is 422646411.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114646191 and 114646200.

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, 11814 + ... + 19205.

It is an arithmetic number, because the mean of its divisors is an integer number (4615776).

Almost surely, 2114646224 is an apocalyptic number.

114646224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114646224 is an abundant number, since it is smaller than the sum of its proper divisors (254615856).

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

114646224 is a wasteful number, since it uses less digits than its factorization.

114646224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31048 (or 31042 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 114646224 is about 10707.2976982990. The cubic root of 114646224 is about 485.7952362689.

The spelling of 114646224 in words is "one hundred fourteen million, six hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 31019 62038 93057 124076 186114 217133 248152 341209 372228 434266 496304 651399 682418 744456 868532 1023627 1302798 1364836 1488912 1737064 2047254 2388463 2605596 2729672 3474128 4094508 4776926 5211192 5459344 7165389 8189016 9553852 10422384 14330778 16378032 19107704 28661556 38215408 57323112 114646224