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214105032 = 2334330409
BaseRepresentation
bin11001100001011…
…11101111001000
3112220212122220000
430300233233020
5414302330112
633125003000
75206601631
oct1460575710
9486778800
10214105032
11aa947309
125b853460
133548548b
1420614888
1513be37dc
hexcc2fbc8

214105032 has 40 divisors (see below), whose sum is σ = 599694150. Its totient is φ = 71368128.

The previous prime is 214105019. The next prime is 214105063. The reversal of 214105032 is 230501412.

It can be written as a sum of positive squares in only one way, i.e., 175986756 + 38118276 = 13266^2 + 6174^2 .

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 214104996 and 214105014.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164557 + ... + 165852.

Almost surely, 2214105032 is an apocalyptic number.

It is an amenable number.

214105032 is an abundant number, since it is smaller than the sum of its proper divisors (385589118).

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

214105032 is a wasteful number, since it uses less digits than its factorization.

214105032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330427 (or 330414 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 214105032 is about 14632.3283178037. The cubic root of 214105032 is about 598.2402438094.

Adding to 214105032 its reverse (230501412), we get a palindrome (444606444).

The spelling of 214105032 in words is "two hundred fourteen million, one hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 330409 660818 991227 1321636 1982454 2643272 2973681 3964908 5947362 7929816 8921043 11894724 17842086 23789448 26763129 35684172 53526258 71368344 107052516 214105032