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214104220 = 225117997127
BaseRepresentation
bin11001100001011…
…11100010011100
3112220212121202221
430300233202130
5414302313340
633124555124
75206566361
oct1460574234
9486777687
10214104220
11aa946740
125b852aa4
1335484cb5
1420614468
1513be344a
hexcc2f89c

214104220 has 96 divisors (see below), whose sum is σ = 505774080. Its totient is φ = 75479040.

The previous prime is 214104199. The next prime is 214104221. The reversal of 214104220 is 22401412.

214104220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214104194 and 214104203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214104221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685797 + ... + 1685923.

It is an arithmetic number, because the mean of its divisors is an integer number (5268480).

Almost surely, 2214104220 is an apocalyptic number.

214104220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214104220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252887040).

214104220 is an abundant number, since it is smaller than the sum of its proper divisors (291669860).

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

214104220 is a wasteful number, since it uses less digits than its factorization.

214104220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 214104220 is about 14632.3005709970. The cubic root of 214104220 is about 598.2394875269.

Adding to 214104220 its reverse (22401412), we get a palindrome (236505632).

The spelling of 214104220 in words is "two hundred fourteen million, one hundred four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 79 97 110 127 158 194 220 254 316 388 395 485 508 635 790 869 970 1067 1270 1397 1580 1738 1940 2134 2540 2794 3476 4268 4345 5335 5588 6985 7663 8690 10033 10670 12319 13970 15326 17380 20066 21340 24638 27940 30652 38315 40132 49276 50165 61595 76630 84293 100330 110363 123190 135509 153260 168586 200660 220726 246380 271018 337172 421465 441452 542036 551815 677545 842930 973201 1103630 1355090 1685860 1946402 2207260 2710180 3892804 4866005 9732010 10705211 19464020 21410422 42820844 53526055 107052110 214104220