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214049514 = 23737181761
BaseRepresentation
bin11001100001000…
…10001011101010
3112220202211201210
430300202023222
5414244041024
633123453550
75206251030
oct1460421352
9486684653
10214049514
11aa909628
125b8272b6
1335466123
14205dc550
1513bd2129
hexcc222ea

214049514 has 64 divisors (see below), whose sum is σ = 505919232. Its totient is φ = 59097600.

The previous prime is 214049503. The next prime is 214049527. The reversal of 214049514 is 415940412.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280894 + ... + 281654.

It is an arithmetic number, because the mean of its divisors is an integer number (7904988).

Almost surely, 2214049514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214049514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252959616).

214049514 is an abundant number, since it is smaller than the sum of its proper divisors (291869718).

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

214049514 is a wasteful number, since it uses less digits than its factorization.

214049514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 214049514 is about 14630.4310941271. The cubic root of 214049514 is about 598.1885309146.

Adding to 214049514 its reverse (415940412), we get a palindrome (629989926).

The spelling of 214049514 in words is "two hundred fourteen million, forty-nine thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 181 222 259 362 518 543 761 777 1086 1267 1522 1554 2283 2534 3801 4566 5327 6697 7602 10654 13394 15981 20091 28157 31962 40182 46879 56314 84471 93758 137741 140637 168942 197099 275482 281274 394198 413223 591297 826446 964187 1182594 1928374 2892561 5096417 5785122 10192834 15289251 30578502 35674919 71349838 107024757 214049514