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214265130 = 235431631019
BaseRepresentation
bin11001100010101…
…10110100101010
3112221011210111120
430301112310222
5414322441010
633132240110
75211136452
oct1461266452
9487153446
10214265130
11aaa46622
125b910036
1335510301
1420656d62
1513c25e70
hexcc56d2a

214265130 has 64 divisors (see below), whose sum is σ = 529943040. Its totient is φ = 55411776.

The previous prime is 214265099. The next prime is 214265141. The reversal of 214265130 is 31562412.

214265130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 214265130.

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, 209761 + ... + 210779.

It is an arithmetic number, because the mean of its divisors is an integer number (8280360).

Almost surely, 2214265130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214265130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264971520).

214265130 is an abundant number, since it is smaller than the sum of its proper divisors (315677910).

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

214265130 is a wasteful number, since it uses less digits than its factorization.

214265130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 214265130 is about 14637.7979901350. The cubic root of 214265130 is about 598.3893189355.

The spelling of 214265130 in words is "two hundred fourteen million, two hundred sixty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 163 215 258 326 430 489 645 815 978 1019 1290 1630 2038 2445 3057 4890 5095 6114 7009 10190 14018 15285 21027 30570 35045 42054 43817 70090 87634 105135 131451 166097 210270 219085 262902 332194 438170 498291 657255 830485 996582 1314510 1660970 2491455 4982910 7142171 14284342 21426513 35710855 42853026 71421710 107132565 214265130