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234066297852 = 223217109232191
BaseRepresentation
bin1101100111111101110…
…0000100001111111100
3211101011111000220212200
43121333130010033330
512313331433012402
6255310101031500
722624244463432
oct3317734041774
9741144026780
10234066297852
11902a3360a72
12394443b5590
13190c2c7937a
14b4865bad52
15614e06c21c
hex367f7043fc

234066297852 has 108 divisors (see below), whose sum is σ = 632291377536. Its totient is φ = 72756610560.

The previous prime is 234066297769. The next prime is 234066297863. The reversal of 234066297852 is 258792660432.

234066297852 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 6 + 629 + 7 + 8 + 5 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7255077 + ... + 7287267.

It is an arithmetic number, because the mean of its divisors is an integer number (5854549792).

Almost surely, 2234066297852 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 234066297852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316145688768).

234066297852 is an abundant number, since it is smaller than the sum of its proper divisors (398225079684).

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

234066297852 is a wasteful number, since it uses less digits than its factorization.

234066297852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32436 (or 32322 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 234066297852 in words is "two hundred thirty-four billion, sixty-six million, two hundred ninety-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 306 327 436 612 654 981 1308 1853 1962 3706 3924 5559 7412 11118 11881 16677 22236 23762 32191 33354 35643 47524 64382 66708 71286 96573 106929 128764 142572 193146 201977 213858 289719 386292 403954 427716 547247 579438 605931 807908 1094494 1158876 1211862 1641741 1817793 2188988 2423724 3283482 3508819 3635586 4925223 6566964 7017638 7271172 9850446 10526457 14035276 19700892 21052914 31579371 42105828 59649923 63158742 119299846 126317484 178949769 238599692 357899538 382461271 536849307 715799076 764922542 1073698614 1147383813 1529845084 2147397228 2294767626 3442151439 4589535252 6501841607 6884302878 13003683214 13768605756 19505524821 26007366428 39011049642 58516574463 78022099284 117033148926 234066297852