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214247400 = 23352357079
BaseRepresentation
bin11001100010100…
…10011111101000
3112221010220011220
430301102133220
5414321404100
633132022040
75211033663
oct1461223750
9487126156
10214247400
11aaa34274
125b901920
1335505213
14206506da
1513c20aa0
hexcc527e8

214247400 has 48 divisors (see below), whose sum is σ = 664168800. Its totient is φ = 57132480.

The previous prime is 214247387. The next prime is 214247419. The reversal of 214247400 is 4742412.

214247400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177940 + ... + 179139.

It is an arithmetic number, because the mean of its divisors is an integer number (13836850).

Almost surely, 2214247400 is an apocalyptic number.

214247400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214247400 is an abundant number, since it is smaller than the sum of its proper divisors (449921400).

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

214247400 is a wasteful number, since it uses less digits than its factorization.

214247400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357098 (or 357089 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 214247400 is about 14637.1923537269. The cubic root of 214247400 is about 598.3728133173.

Adding to 214247400 its reverse (4742412), we get a palindrome (218989812).

The spelling of 214247400 in words is "two hundred fourteen million, two hundred forty-seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 357079 714158 1071237 1428316 1785395 2142474 2856632 3570790 4284948 5356185 7141580 8569896 8926975 10712370 14283160 17853950 21424740 26780925 35707900 42849480 53561850 71415800 107123700 214247400