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114211300 = 22527167977
BaseRepresentation
bin1101100111010…
…11100111100100
321221220112110011
412303223213210
5213214230200
615155540004
72554531360
oct663534744
9257815404
10114211300
1159518705
12322ba604
131a87b168
14112502a0
15a0605ba
hex6ceb9e4

114211300 has 72 divisors (see below), whose sum is σ = 285231744. Its totient is φ = 38883840.

The previous prime is 114211289. The next prime is 114211301. The reversal of 114211300 is 3112411.

It is not an unprimeable number, because it can be changed into a prime (114211301) 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, 116412 + ... + 117388.

It is an arithmetic number, because the mean of its divisors is an integer number (3961552).

Almost surely, 2114211300 is an apocalyptic number.

114211300 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 114211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142615872).

114211300 is an abundant number, since it is smaller than the sum of its proper divisors (171020444).

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

114211300 is a wasteful number, since it uses less digits than its factorization.

114211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 114211300 is about 10686.9687002442. The cubic root of 114211300 is about 485.1801505980.

Adding to 114211300 its reverse (3112411), we get a palindrome (117323711).

It can be divided in two parts, 11421 and 1300, that added together give a palindrome (12721).

The spelling of 114211300 in words is "one hundred fourteen million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 167 175 334 350 668 700 835 977 1169 1670 1954 2338 3340 3908 4175 4676 4885 5845 6839 8350 9770 11690 13678 16700 19540 23380 24425 27356 29225 34195 48850 58450 68390 97700 116900 136780 163159 170975 326318 341950 652636 683900 815795 1142113 1631590 2284226 3263180 4078975 4568452 5710565 8157950 11421130 16315900 22842260 28552825 57105650 114211300