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214143104 = 2771991201
BaseRepresentation
bin11001100001110…
…01000010000000
3112220221121010002
430300321002000
5414310034404
633125455132
75210120630
oct1460710200
9486847102
10214143104
11aa97297a
125b8714a8
13354998c6
14206246c0
1513beec1e
hexcc39080

214143104 has 64 divisors (see below), whose sum is σ = 490416000. Its totient is φ = 91238400.

The previous prime is 214143103. The next prime is 214143107. The reversal of 214143104 is 401341412.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214143103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177704 + ... + 178904.

It is an arithmetic number, because the mean of its divisors is an integer number (7662750).

Almost surely, 2214143104 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 214143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245208000).

214143104 is an abundant number, since it is smaller than the sum of its proper divisors (276272896).

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

214143104 is a wasteful number, since it uses less digits than its factorization.

214143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 214143104 is about 14633.6292149282. The cubic root of 214143104 is about 598.2757012552.

Adding to 214143104 its reverse (401341412), we get a palindrome (615484516).

The spelling of 214143104 in words is "two hundred fourteen million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 199 224 398 448 796 896 1201 1393 1592 2402 2786 3184 4804 5572 6368 8407 9608 11144 12736 16814 19216 22288 25472 33628 38432 44576 67256 76864 89152 134512 153728 178304 238999 269024 477998 538048 955996 1076096 1672993 1911992 3345986 3823984 6691972 7647968 13383944 15295936 26767888 30591872 53535776 107071552 214143104