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114229962 = 232711731129
BaseRepresentation
bin1101100111100…
…00001011001010
321221221111001100
412303300023022
5213220324322
615200202230
72554636650
oct663601312
9257844040
10114229962
1159530730
1232309376
131a8867c2
1411256dd0
15a065dac
hex6cf02ca

114229962 has 96 divisors (see below), whose sum is σ = 313073280. Its totient is φ = 29237760.

The previous prime is 114229949. The next prime is 114229963. The reversal of 114229962 is 269922411.

It is not an unprimeable number, because it can be changed into a prime (114229963) 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 47 ways as a sum of consecutive naturals, for example, 100614 + ... + 101742.

It is an arithmetic number, because the mean of its divisors is an integer number (3261180).

Almost surely, 2114229962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114229962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156536640).

114229962 is an abundant number, since it is smaller than the sum of its proper divisors (198843318).

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

114229962 is a wasteful number, since it uses less digits than its factorization.

114229962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1225 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 114229962 is about 10687.8417840086. The cubic root of 114229962 is about 485.2065751253.

The spelling of 114229962 in words is "one hundred fourteen million, two hundred twenty-nine thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 73 77 99 126 146 154 198 219 231 438 462 511 657 693 803 1022 1129 1314 1386 1533 1606 2258 2409 3066 3387 4599 4818 5621 6774 7227 7903 9198 10161 11242 12419 14454 15806 16863 20322 23709 24838 33726 37257 47418 50589 71127 74514 82417 86933 101178 111771 142254 164834 173866 223542 247251 260799 494502 521598 576919 741753 782397 906587 1153838 1483506 1564794 1730757 1813174 2719761 3461514 5192271 5439522 6346109 8159283 10384542 12692218 16318566 19038327 38076654 57114981 114229962