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230414022 = 232173747433
BaseRepresentation
bin11011011101111…
…01011011000110
3121001120020121200
431232331123012
5432441222042
634510323330
75465325666
oct1556753306
9531506550
10230414022
11109076513
12651b9546
1338975877
142285c1a6
1515365c4c
hexdbbd6c6

230414022 has 96 divisors (see below), whose sum is σ = 555714432. Its totient is φ = 68677632.

The previous prime is 230414017. The next prime is 230414033. The reversal of 230414022 is 220414032.

230414022 is a `hidden beast` number, since 230 + 414 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230413986 and 230414004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531918 + ... + 532350.

It is an arithmetic number, because the mean of its divisors is an integer number (5788692).

Almost surely, 2230414022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230414022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

230414022 is an abundant number, since it is smaller than the sum of its proper divisors (325300410).

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

230414022 is a wasteful number, since it uses less digits than its factorization.

230414022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230414022 is about 15179.3946519616. The cubic root of 230414022 is about 613.0599822261.

Adding to 230414022 its reverse (220414032), we get a palindrome (450828054).

The spelling of 230414022 in words is "two hundred thirty million, four hundred fourteen thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 47 51 74 94 102 111 141 153 222 282 306 333 423 433 629 666 799 846 866 1258 1299 1598 1739 1887 2397 2598 3478 3774 3897 4794 5217 5661 7191 7361 7794 10434 11322 14382 14722 15651 16021 20351 22083 29563 31302 32042 40702 44166 48063 59126 61053 66249 88689 96126 122106 132498 144189 177378 183159 266067 272357 288378 345967 366318 532134 544714 691934 752987 817071 1037901 1505974 1634142 2075802 2258961 2451213 3113703 4517922 4902426 6227406 6776883 12800779 13553766 25601558 38402337 76804674 115207011 230414022