Search a number
-
+
214601968 = 2472273727
BaseRepresentation
bin11001100101010…
…01000011110000
3112221210220120001
430302221003300
5414414230333
633143355344
75214041500
oct1462510360
9487726501
10214601968
111001566a9
125ba52b54
13355ca719
1420703a00
1513c90b7d
hexcca90f0

214601968 has 30 divisors (see below), whose sum is σ = 483677376. Its totient is φ = 91971936.

The previous prime is 214601963. The next prime is 214601977. The reversal of 214601968 is 869106412.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214601963) 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, 136080 + ... + 137647.

Almost surely, 2214601968 is an apocalyptic number.

214601968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

214601968 is an abundant number, since it is smaller than the sum of its proper divisors (269075408).

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

214601968 is a wasteful number, since it uses less digits than its factorization.

214601968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273749 (or 273736 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 214601968 is about 14649.2992323865. The cubic root of 214601968 is about 598.7027230684.

The spelling of 214601968 in words is "two hundred fourteen million, six hundred one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 273727 547454 1094908 1916089 2189816 3832178 4379632 7664356 13412623 15328712 26825246 30657424 53650492 107300984 214601968