Search a number
-
+
114233208 = 23337197653
BaseRepresentation
bin1101100111100…
…00111101111000
321221221122111120
412303300331320
5213220430313
615200225240
72554652265
oct663607570
9257848446
10114233208
1159533111
123230b220
131a88811b
141125826c
15a066d23
hex6cf0f78

114233208 has 64 divisors (see below), whose sum is σ = 295241760. Its totient is φ = 36804096.

The previous prime is 114233201. The next prime is 114233209. The reversal of 114233208 is 802332411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114233201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174610 + ... + 175262.

Almost surely, 2114233208 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 114233208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147620880).

114233208 is an abundant number, since it is smaller than the sum of its proper divisors (181008552).

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

114233208 is a wasteful number, since it uses less digits than its factorization.

114233208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114233208 is about 10687.9936377227. The cubic root of 114233208 is about 485.2111710171.

Adding to 114233208 its reverse (802332411), we get a palindrome (916565619).

The spelling of 114233208 in words is "one hundred fourteen million, two hundred thirty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 197 222 296 394 444 591 653 788 888 1182 1306 1576 1959 2364 2612 3918 4728 5224 7289 7836 14578 15672 21867 24161 29156 43734 48322 58312 72483 87468 96644 128641 144966 174936 193288 257282 289932 385923 514564 579864 771846 1029128 1543692 3087384 4759717 9519434 14279151 19038868 28558302 38077736 57116604 114233208