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214653648 = 243111033947
BaseRepresentation
bin11001100101101…
…01101011010000
3112221220112110010
430302311223100
5414422404043
633144434520
75214345246
oct1462655320
9487815403
10214653648
11100191510
125ba78a40
13356180c1
1420718796
1513ca1133
hexccb5ad0

214653648 has 80 divisors (see below), whose sum is σ = 610960896. Its totient is φ = 64398720.

The previous prime is 214653601. The next prime is 214653689. The reversal of 214653648 is 846356412.

214653648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52411 + ... + 56357.

Almost surely, 2214653648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214653648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305480448).

214653648 is an abundant number, since it is smaller than the sum of its proper divisors (396307248).

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

214653648 is a wasteful number, since it uses less digits than its factorization.

214653648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4066 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 214653648 is about 14651.0630331045. The cubic root of 214653648 is about 598.7507786596.

The spelling of 214653648 in words is "two hundred fourteen million, six hundred fifty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 103 132 176 206 264 309 412 528 618 824 1133 1236 1648 2266 2472 3399 3947 4532 4944 6798 7894 9064 11841 13596 15788 18128 23682 27192 31576 43417 47364 54384 63152 86834 94728 130251 173668 189456 260502 347336 406541 521004 694672 813082 1042008 1219623 1626164 2084016 2439246 3252328 4471951 4878492 6504656 8943902 9756984 13415853 17887804 19513968 26831706 35775608 53663412 71551216 107326824 214653648