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114383025 = 3252232312
BaseRepresentation
bin1101101000101…
…01100010110001
321222020021000100
412310111202301
5213240224100
615203343013
72556145131
oct664254261
9258207010
10114383025
1159625729
1232381a69
131a90b383
1411296ac1
15a096400
hex6d158b1

114383025 has 81 divisors (see below), whose sum is σ = 221298987. Its totient is φ = 56469600.

The previous prime is 114383023. The next prime is 114383041. The reversal of 114383025 is 520383411.

114383025 = 813 + 823 + ... + 1493.

It is a happy number.

The square root of 114383025 is 10695.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 41177889 + 73205136 = 6417^2 + 8556^2 .

It is not a de Polignac number, because 114383025 - 21 = 114383023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114383025.

It is not an unprimeable number, because it can be changed into a prime (114383023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3689760 + ... + 3689790.

Almost surely, 2114383025 is an apocalyptic number.

114383025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114383025 is the 10695-th square number.

114383025 is the 5348-th centered octagonal number.

It is an amenable number.

114383025 is a deficient number, since it is larger than the sum of its proper divisors (106915962).

114383025 is a wasteful number, since it uses less digits than its factorization.

114383025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 114383025 is about 485.4231967128.

The spelling of 114383025 in words is "one hundred fourteen million, three hundred eighty-three thousand, twenty-five".

Divisors: 1 3 5 9 15 23 25 31 45 69 75 93 115 155 207 225 279 345 465 529 575 713 775 961 1035 1395 1587 1725 2139 2325 2645 2883 3565 4761 4805 5175 6417 6975 7935 8649 10695 13225 14415 16399 17825 22103 23805 24025 32085 39675 43245 49197 53475 66309 72075 81995 110515 119025 147591 160425 198927 216225 245985 331545 409975 508369 552575 737955 994635 1229925 1525107 1657725 2541845 3689775 4575321 4973175 7625535 12709225 22876605 38127675 114383025