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230422164 = 22375373709
BaseRepresentation
bin11011011101111…
…11011010010100
3121001120122210020
431232333122110
5432442002124
634510425140
75465361510
oct1556773224
9531518706
10230422164
11109081645
12652021b0
133897949b
1422861140
1515368379
hexdbbf694

230422164 has 96 divisors (see below), whose sum is σ = 635523840. Its totient is φ = 63618048.

The previous prime is 230422133. The next prime is 230422183. The reversal of 230422164 is 461224032.

230422164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 324642 + ... + 325350.

It is an arithmetic number, because the mean of its divisors is an integer number (6620040).

Almost surely, 2230422164 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 230422164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317761920).

230422164 is an abundant number, since it is smaller than the sum of its proper divisors (405101676).

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

230422164 is a wasteful number, since it uses less digits than its factorization.

230422164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 230422164 is about 15179.6628421056. The cubic root of 230422164 is about 613.0672032501.

Adding to 230422164 its reverse (461224032), we get a palindrome (691646196).

The spelling of 230422164 in words is "two hundred thirty million, four hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 73 84 106 146 159 212 219 292 318 371 438 511 636 709 742 876 1022 1113 1418 1484 1533 2044 2127 2226 2836 3066 3869 4254 4452 4963 6132 7738 8508 9926 11607 14889 15476 19852 23214 27083 29778 37577 46428 51757 54166 59556 75154 81249 103514 108332 112731 150308 155271 162498 207028 225462 263039 310542 324996 362299 450924 526078 621084 724598 789117 1052156 1086897 1449196 1578234 2173794 2743121 3156468 4347588 5486242 8229363 10972484 16458726 19201847 32917452 38403694 57605541 76807388 115211082 230422164