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2314200 = 2335271929
BaseRepresentation
bin1000110100111111011000
311100120111010
420310333120
51043023300
6121333520
725445640
oct10647730
94316433
102314200
111340769
129372a0
13630465
14443520
1530aa50
hex234fd8

2314200 has 192 divisors, whose sum is σ = 8928000. Its totient is φ = 483840.

The previous prime is 2314199. The next prime is 2314231. The reversal of 2314200 is 24132.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79786 + ... + 79814.

It is an arithmetic number, because the mean of its divisors is an integer number (46500).

22314200 is an apocalyptic number.

2314200 is a gapful number since it is divisible by the number (20) 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 2314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464000).

2314200 is an abundant number, since it is smaller than the sum of its proper divisors (6613800).

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

2314200 is a wasteful number, since it uses less digits than its factorization.

2314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2314200 is about 1521.2494864420. The cubic root of 2314200 is about 132.2717084681.

Adding to 2314200 its reverse (24132), we get a palindrome (2338332).

The spelling of 2314200 in words is "two million, three hundred fourteen thousand, two hundred".