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214105104 = 24321486841
BaseRepresentation
bin11001100001011…
…11110000010000
3112220212122222200
430300233300100
5414302330404
633125003200
75206602063
oct1460576020
9486778880
10214105104
11aa947374
125b853500
1335485515
14206148da
1513be3839
hexcc2fc10

214105104 has 30 divisors (see below), whose sum is σ = 599197326. Its totient is φ = 71368320.

The previous prime is 214105063. The next prime is 214105117. The reversal of 214105104 is 401501412.

It can be written as a sum of positive squares in only one way, i.e., 197458704 + 16646400 = 14052^2 + 4080^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 743277 + ... + 743564.

Almost surely, 2214105104 is an apocalyptic number.

214105104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214105104 is an abundant number, since it is smaller than the sum of its proper divisors (385092222).

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

214105104 is a wasteful number, since it uses less digits than its factorization.

214105104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486855 (or 1486846 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 214105104 is about 14632.3307781091. The cubic root of 214105104 is about 598.2403108689.

Adding to 214105104 its reverse (401501412), we get a palindrome (615606516).

The spelling of 214105104 in words is "two hundred fourteen million, one hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1486841 2973682 4460523 5947364 8921046 11894728 13381569 17842092 23789456 26763138 35684184 53526276 71368368 107052552 214105104