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214079616 = 2732185833
BaseRepresentation
bin11001100001010…
…01100010000000
3112220211101000200
430300221202000
5414301021431
633124245200
75206434552
oct1460514200
9486741020
10214079616
11aa92a203
125b840800
1335476a3a
14206094d2
1513bdaee6
hexcc29880

214079616 has 48 divisors (see below), whose sum is σ = 616039710. Its totient is φ = 71359488.

The previous prime is 214079557. The next prime is 214079617. The reversal of 214079616 is 616970412.

It can be written as a sum of positive squares in only one way, i.e., 183873600 + 30206016 = 13560^2 + 5496^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (214079617) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91765 + ... + 94068.

Almost surely, 2214079616 is an apocalyptic number.

It is an amenable number.

214079616 is an abundant number, since it is smaller than the sum of its proper divisors (401960094).

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

214079616 is a wasteful number, since it uses less digits than its factorization.

214079616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185853 (or 185838 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 214079616 is about 14631.4598041344. The cubic root of 214079616 is about 598.2165708866.

The spelling of 214079616 in words is "two hundred fourteen million, seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 185833 371666 557499 743332 1114998 1486664 1672497 2229996 2973328 3344994 4459992 5946656 6689988 8919984 11893312 13379976 17839968 23786624 26759952 35679936 53519904 71359872 107039808 214079616