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114264822 = 23719312149
BaseRepresentation
bin1101100111110…
…00101011110110
321222000020212110
412303320223312
5213222433242
615201031450
72555143410
oct663705366
9258006773
10114264822
1159554941
1232325586
131a899629
14112659b0
15a07139c
hex6cf8af6

114264822 has 96 divisors (see below), whose sum is σ = 285984000. Its totient is φ = 29730240.

The previous prime is 114264797. The next prime is 114264823. The reversal of 114264822 is 228462411.

It is a self number, because there is not a number n which added to its sum of digits gives 114264822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114264823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 766804 + ... + 766952.

It is an arithmetic number, because the mean of its divisors is an integer number (2979000).

Almost surely, 2114264822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114264822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142992000).

114264822 is an abundant number, since it is smaller than the sum of its proper divisors (171719178).

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

114264822 is a wasteful number, since it uses less digits than its factorization.

114264822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 211 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 114264822 is about 10689.4724846458. The cubic root of 114264822 is about 485.2559275620.

The spelling of 114264822 in words is "one hundred fourteen million, two hundred sixty-four thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 57 62 93 114 133 149 186 217 266 298 399 434 447 589 651 798 894 961 1043 1178 1302 1767 1922 2086 2831 2883 3129 3534 4123 4619 5662 5766 6258 6727 8246 8493 9238 12369 13454 13857 16986 18259 19817 20181 24738 27714 32333 36518 39634 40362 54777 59451 64666 87761 96999 109554 118902 127813 143189 175522 193998 255626 263283 286378 383439 429567 526566 614327 766878 859134 1002323 1228654 1842981 2004646 2720591 3006969 3685962 5441182 6013938 8161773 16323546 19044137 38088274 57132411 114264822