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214019712 = 273361927
BaseRepresentation
bin11001100000110…
…10111010000000
3112220201022212000
430300122322000
5414242112322
633123104000
75206065114
oct1460327200
9486638760
10214019712
11aa8991a5
125b812000
13354556aa
14205d1744
1513bc83ac
hexcc1ae80

214019712 has 64 divisors (see below), whose sum is σ = 631665600. Its totient is φ = 71338752.

The previous prime is 214019693. The next prime is 214019719. The reversal of 214019712 is 217910412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (214019719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27508 + ... + 34419.

It is an arithmetic number, because the mean of its divisors is an integer number (9869775).

Almost surely, 2214019712 is an apocalyptic number.

It is an amenable number.

214019712 is an abundant number, since it is smaller than the sum of its proper divisors (417645888).

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

214019712 is an equidigital number, since it uses as much as digits as its factorization.

214019712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61950 (or 61932 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 214019712 is about 14629.4125651032. The cubic root of 214019712 is about 598.1607678024.

It can be divided in two parts, 21401 and 9712, that added together give a palindrome (31113).

The spelling of 214019712 in words is "two hundred fourteen million, nineteen thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 61927 123854 185781 247708 371562 495416 557343 743124 990832 1114686 1486248 1672029 1981664 2229372 2972496 3344058 3963328 4458744 5944992 6688116 7926656 8917488 11889984 13376232 17834976 23779968 26752464 35669952 53504928 71339904 107009856 214019712