Search a number
-
+
114443300 = 225241103271
BaseRepresentation
bin1101101001001…
…00010000100100
321222100022200202
412310210100210
5213244141200
615204530032
72556515636
oct664442044
9258308622
10114443300
1159666a44
12323b0918
131a92c93a
14112b0a56
15a0a91d5
hex6d24424

114443300 has 72 divisors (see below), whose sum is σ = 257816832. Its totient is φ = 44064000.

The previous prime is 114443299. The next prime is 114443317. The reversal of 114443300 is 3344411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422165 + ... + 422435.

Almost surely, 2114443300 is an apocalyptic number.

114443300 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 114443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908416).

114443300 is an abundant number, since it is smaller than the sum of its proper divisors (143373532).

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

114443300 is a wasteful number, since it uses less digits than its factorization.

114443300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 114443300 is about 10697.8175344320. The cubic root of 114443300 is about 485.5084475482.

Adding to 114443300 its reverse (3344411), we get a palindrome (117787711).

It can be divided in two parts, 1144 and 43300, that added together give a palindrome (44444).

The spelling of 114443300 in words is "one hundred fourteen million, four hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 103 164 205 206 271 410 412 515 542 820 1025 1030 1084 1355 2050 2060 2575 2710 4100 4223 5150 5420 6775 8446 10300 11111 13550 16892 21115 22222 27100 27913 42230 44444 55555 55826 84460 105575 111110 111652 139565 211150 222220 277775 279130 422300 555550 558260 697825 1111100 1144433 1395650 2288866 2791300 4577732 5722165 11444330 22888660 28610825 57221650 114443300