Search a number
-
+
114233020 = 225115397101
BaseRepresentation
bin1101100111100…
…00111010111100
321221221122020121
412303300322330
5213220424040
615200224324
72554651606
oct663607274
9257848217
10114233020
1159532a60
123230b0a4
131a888005
1411258176
15a066c4a
hex6cf0ebc

114233020 has 96 divisors (see below), whose sum is σ = 272051136. Its totient is φ = 39936000.

The previous prime is 114233003. The next prime is 114233029. The reversal of 114233020 is 20332411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114232985 and 114233003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114233029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130970 + ... + 1131070.

It is an arithmetic number, because the mean of its divisors is an integer number (2833866).

Almost surely, 2114233020 is an apocalyptic number.

114233020 is a gapful number since it is divisible by the number (10) 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 114233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136025568).

114233020 is an abundant number, since it is smaller than the sum of its proper divisors (157818116).

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

114233020 is a wasteful number, since it uses less digits than its factorization.

114233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 114233020 is about 10687.9848428036. The cubic root of 114233020 is about 485.2109048372.

Adding to 114233020 its reverse (20332411), we get a palindrome (134565431).

The spelling of 114233020 in words is "one hundred fourteen million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 97 101 106 110 194 202 212 220 265 388 404 485 505 530 583 970 1010 1060 1067 1111 1166 1940 2020 2134 2222 2332 2915 4268 4444 5141 5335 5353 5555 5830 9797 10282 10670 10706 11110 11660 19594 20564 21340 21412 22220 25705 26765 39188 48985 51410 53530 56551 58883 97970 102820 107060 107767 113102 117766 195940 215534 226204 235532 282755 294415 431068 519241 538835 565510 588830 1038482 1077670 1131020 1177660 2076964 2155340 2596205 5192410 5711651 10384820 11423302 22846604 28558255 57116510 114233020