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214148052 = 223259100823
BaseRepresentation
bin11001100001110…
…10001111010100
3112220221211220100
430300322033110
5414310214202
633125534100
75210141226
oct1460721724
9486854810
10214148052
11aa976668
125b874330
133549bc31
1420626416
1513c0141c
hexcc3a3d4

214148052 has 36 divisors (see below), whose sum is σ = 550499040. Its totient is φ = 70172112.

The previous prime is 214147991. The next prime is 214148057. The reversal of 214148052 is 250841412.

214148052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214148057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48288 + ... + 52535.

It is an arithmetic number, because the mean of its divisors is an integer number (15291640).

Almost surely, 2214148052 is an apocalyptic number.

It is an amenable number.

214148052 is an abundant number, since it is smaller than the sum of its proper divisors (336350988).

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

214148052 is a wasteful number, since it uses less digits than its factorization.

214148052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100892 (or 100887 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 214148052 is about 14633.7982765924. The cubic root of 214148052 is about 598.2803091479.

Adding to 214148052 its reverse (250841412), we get a palindrome (464989464).

The spelling of 214148052 in words is "two hundred fourteen million, one hundred forty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 100823 201646 302469 403292 604938 907407 1209876 1814814 3629628 5948557 11897114 17845671 23794228 35691342 53537013 71382684 107074026 214148052