Search a number
-
+
214244004 = 223132891187
BaseRepresentation
bin11001100010100…
…01101010100100
3112221010201112010
430301101222210
5414321302004
633131554220
75211021042
oct1461215244
9487121463
10214244004
11aaa31767
125b8bb970
1335503800
142064d392
1513c1ea89
hexcc51aa4

214244004 has 72 divisors (see below), whose sum is σ = 547858080. Its totient is φ = 65125632.

The previous prime is 214243993. The next prime is 214244021. The reversal of 214244004 is 400442412.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179899 + ... + 181085.

It is an arithmetic number, because the mean of its divisors is an integer number (7609140).

Almost surely, 2214244004 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 214244004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273929040).

214244004 is an abundant number, since it is smaller than the sum of its proper divisors (333614076).

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

214244004 is a wasteful number, since it uses less digits than its factorization.

214244004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 214244004 is about 14637.0763474131. The cubic root of 214244004 is about 598.3696517312.

Adding to 214244004 its reverse (400442412), we get a palindrome (614686416).

The spelling of 214244004 in words is "two hundred fourteen million, two hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 169 178 267 338 356 507 534 676 1014 1068 1157 1187 2028 2314 2374 3471 3561 4628 4748 6942 7122 13884 14244 15041 15431 30082 30862 45123 46293 60164 61724 90246 92586 105643 180492 185172 200603 211286 316929 401206 422572 601809 633858 802412 1203618 1267716 1373359 2407236 2746718 4120077 5493436 8240154 16480308 17853667 35707334 53561001 71414668 107122002 214244004