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214201104 = 243132291499
BaseRepresentation
bin11001100010001…
…11001100010000
3112221001112200020
430301013030100
5414313413404
633131023440
75210452005
oct1461071420
9487045606
10214201104
11aaa02507
125b89ab80
13354ba120
142063b8ac
1513c11ed9
hexcc47310

214201104 has 80 divisors (see below), whose sum is σ = 598920000. Its totient is φ = 65576448.

The previous prime is 214201087. The next prime is 214201109. The reversal of 214201104 is 401102412.

214201104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2142011042 = 91764225909637632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214201109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142147 + ... + 143645.

It is an arithmetic number, because the mean of its divisors is an integer number (7486500).

Almost surely, 2214201104 is an apocalyptic number.

214201104 is a gapful number since it is divisible by the number (24) 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 214201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299460000).

214201104 is an abundant number, since it is smaller than the sum of its proper divisors (384718896).

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

214201104 is a wasteful number, since it uses less digits than its factorization.

214201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214201104 is about 14635.6108174548. The cubic root of 214201104 is about 598.3297100896.

Adding to 214201104 its reverse (401102412), we get a palindrome (615303516).

The spelling of 214201104 in words is "two hundred fourteen million, two hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 229 312 458 624 687 916 1374 1499 1832 2748 2977 2998 3664 4497 5496 5954 5996 8931 8994 10992 11908 11992 17862 17988 19487 23816 23984 35724 35976 38974 47632 58461 71448 71952 77948 116922 142896 155896 233844 311792 343271 467688 686542 935376 1029813 1373084 2059626 2746168 4119252 4462523 5492336 8238504 8925046 13387569 16477008 17850092 26775138 35700184 53550276 71400368 107100552 214201104