Search a number
-
+
114433188 = 2231723293
BaseRepresentation
bin1101101001000…
…01110010100100
321222022210211020
412310201302210
5213243330223
615204411140
72556444312
oct664416244
9258283736
10114433188
115965a391
12323a6ab0
131a92815c
14112ab0b2
15a0a61e3
hex6d21ca4

114433188 has 96 divisors (see below), whose sum is σ = 305544960. Its totient is φ = 33155584.

The previous prime is 114433177. The next prime is 114433199. The reversal of 114433188 is 881334411.

It is an interprime number because it is at equal distance from previous prime (114433177) and next prime (114433199).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3945958 + ... + 3945986.

It is an arithmetic number, because the mean of its divisors is an integer number (3182760).

Almost surely, 2114433188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114433188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152772480).

114433188 is an abundant number, since it is smaller than the sum of its proper divisors (191111772).

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

114433188 is a wasteful number, since it uses less digits than its factorization.

114433188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 74 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 114433188 is about 10697.3449042274. The cubic root of 114433188 is about 485.4941475818.

Adding to 114433188 its reverse (881334411), we get a palindrome (995767599).

The spelling of 114433188 in words is "one hundred fourteen million, four hundred thirty-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 23 29 34 46 51 58 68 69 87 92 102 116 138 174 204 276 348 391 493 667 782 841 986 1173 1334 1479 1564 1682 1972 2001 2346 2523 2668 2958 3364 4002 4692 5046 5916 8004 10092 11339 14297 19343 22678 24389 28594 34017 38686 42891 45356 48778 57188 58029 68034 73167 77372 85782 97556 116058 136068 146334 171564 232116 292668 328831 414613 560947 657662 829226 986493 1121894 1243839 1315324 1658452 1682841 1972986 2243788 2487678 3365682 3945972 4975356 6731364 9536099 19072198 28608297 38144396 57216594 114433188