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234230022 = 233132389163
BaseRepresentation
bin11011111011000…
…01000100000110
3121022202010012000
431331201010012
5434430330042
635124210130
75542631235
oct1575410406
9538663160
10234230022
11110242534
1266539946
13396b0760
1423172b1c
151586b74c
hexdf61106

234230022 has 128 divisors (see below), whose sum is σ = 595123200. Its totient is φ = 67744512.

The previous prime is 234229997. The next prime is 234230039. The reversal of 234230022 is 220032432.

234230022 is a `hidden beast` number, since 2 + 342 + 300 + 22 = 666.

It is a super-2 number, since 2×2342300222 = 109727406412240968, which contains 22 as substring.

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 = 234229977 and 234230004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1436913 + ... + 1437075.

It is an arithmetic number, because the mean of its divisors is an integer number (4649400).

Almost surely, 2234230022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234230022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

234230022 is an abundant number, since it is smaller than the sum of its proper divisors (360893178).

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

234230022 is a wasteful number, since it uses less digits than its factorization.

234230022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 234230022 is about 15304.5751982863. The cubic root of 234230022 is about 616.4258647187.

Adding to 234230022 its reverse (220032432), we get a palindrome (454262454).

The spelling of 234230022 in words is "two hundred thirty-four million, two hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 89 117 138 163 178 207 234 267 299 326 351 414 489 534 598 621 702 801 897 978 1157 1242 1467 1602 1794 2047 2119 2314 2403 2691 2934 3471 3749 4094 4238 4401 4806 5382 6141 6357 6942 7498 8073 8802 10413 11247 12282 12714 14507 16146 18423 19071 20826 22494 26611 29014 31239 33741 36846 38142 43521 48737 53222 55269 57213 62478 67482 79833 87042 97474 101223 110538 114426 130563 146211 159666 188591 202446 239499 261126 292422 333661 377182 391689 438633 478998 565773 667322 718497 783378 877266 1000983 1131546 1315899 1436994 1697319 2001966 2631798 3002949 3394638 4337593 5091957 6005898 8675186 9008847 10183914 13012779 18017694 26025558 39038337 78076674 117115011 234230022