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214028130 = 23517478929
BaseRepresentation
bin11001100000111…
…00111101100010
3112220201202101210
430300130331202
5414242400010
633123210550
75206131501
oct1460347542
9486652353
10214028130
11aa8a4558
125b816a56
1335459484
14205d4838
1513bcab20
hexcc1cf62

214028130 has 64 divisors (see below), whose sum is σ = 555517440. Its totient is φ = 52568064.

The previous prime is 214028119. The next prime is 214028153. The reversal of 214028130 is 31820412.

214028130 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 = 214028097 and 214028106.

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, 19506 + ... + 28434.

It is an arithmetic number, because the mean of its divisors is an integer number (8679960).

Almost surely, 2214028130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214028130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277758720).

214028130 is an abundant number, since it is smaller than the sum of its proper divisors (341489310).

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

214028130 is a wasteful number, since it uses less digits than its factorization.

214028130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9003.

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 214028130 is about 14629.7002703405. The cubic root of 214028130 is about 598.1686101506.

Adding to 214028130 its reverse (31820412), we get a palindrome (245848542).

The spelling of 214028130 in words is "two hundred fourteen million, twenty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 47 51 85 94 102 141 170 235 255 282 470 510 705 799 1410 1598 2397 3995 4794 7990 8929 11985 17858 23970 26787 44645 53574 89290 133935 151793 267870 303586 419663 455379 758965 839326 910758 1258989 1517930 2098315 2276895 2517978 4196630 4553790 6294945 7134271 12589890 14268542 21402813 35671355 42805626 71342710 107014065 214028130