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214016532 = 22319979677
BaseRepresentation
bin11001100000110…
…10001000010100
3112220201011111020
430300122020110
5414242012112
633123041140
75206052622
oct1460321024
9486634436
10214016532
11aa896874
125b8101b0
1335454102
14205d0512
1513bc748c
hexcc1a214

214016532 has 48 divisors (see below), whose sum is σ = 531128640. Its totient is φ = 66880512.

The previous prime is 214016503. The next prime is 214016557. The reversal of 214016532 is 235610412.

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, 17278 + ... + 26954.

It is an arithmetic number, because the mean of its divisors is an integer number (11065180).

Almost surely, 2214016532 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 214016532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265564320).

214016532 is an abundant number, since it is smaller than the sum of its proper divisors (317112108).

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

214016532 is a wasteful number, since it uses less digits than its factorization.

214016532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800 (or 9798 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 214016532 is about 14629.3038795426. The cubic root of 214016532 is about 598.1578052082.

Adding to 214016532 its reverse (235610412), we get a palindrome (449626944).

The spelling of 214016532 in words is "two hundred fourteen million, sixteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 97 114 194 228 291 388 582 1164 1843 3686 5529 7372 9677 11058 19354 22116 29031 38708 58062 116124 183863 367726 551589 735452 938669 1103178 1877338 2206356 2816007 3754676 5632014 11264028 17834711 35669422 53504133 71338844 107008266 214016532