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114668232 = 23372281347
BaseRepresentation
bin1101101010110…
…11001011001000
321222202202020120
412311123023020
5213323340412
615213423240
72561443500
oct665331310
9258682216
10114668232
11597aaa38
123249ab20
131a9ab133
141132ca00
15a100b8c
hex6d5b2c8

114668232 has 96 divisors (see below), whose sum is σ = 335625120. Its totient is φ = 32551680.

The previous prime is 114668231. The next prime is 114668251. The reversal of 114668232 is 232866411.

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 = 114668193 and 114668202.

It is not an unprimeable number, because it can be changed into a prime (114668231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330283 + ... + 330629.

It is an arithmetic number, because the mean of its divisors is an integer number (3496095).

Almost surely, 2114668232 is an apocalyptic number.

114668232 is a gapful number since it is divisible by the number (12) 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 114668232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167812560).

114668232 is an abundant number, since it is smaller than the sum of its proper divisors (220956888).

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

114668232 is a wasteful number, since it uses less digits than its factorization.

114668232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 114668232 is about 10708.3253592707. The cubic root of 114668232 is about 485.8263194194.

It can be divided in two parts, 1146 and 68232, that added together give a triangular number (69378 = T372).

The spelling of 114668232 in words is "one hundred fourteen million, six hundred sixty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 281 294 347 392 562 588 694 843 1041 1124 1176 1388 1686 1967 2082 2248 2429 2776 3372 3934 4164 4858 5901 6744 7287 7868 8328 9716 11802 13769 14574 15736 17003 19432 23604 27538 29148 34006 41307 47208 51009 55076 58296 68012 82614 97507 102018 110152 136024 165228 195014 204036 292521 330456 390028 408072 585042 682549 780056 1170084 1365098 2047647 2340168 2730196 4095294 4777843 5460392 8190588 9555686 14333529 16381176 19111372 28667058 38222744 57334116 114668232