Search a number
-
+
233453034192 = 24375917368071
BaseRepresentation
bin1101100101101011100…
…0101001101011010000
3211022120202001220021210
43121122320221223100
512311102434043232
6255125152420120
722603120022640
oct3313270515320
9738522056253
10233453034192
11900091739a4
12392b2b47640
1319025bb8571
14b428d80520
1561152ce5cc
hex365ae29ad0

233453034192 has 160 divisors (see below), whose sum is σ = 704986306560. Its totient is φ = 65190366720.

The previous prime is 233453034161. The next prime is 233453034211. The reversal of 233453034192 is 291430354332.

233453034192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2334530341922 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233453034192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3395517 + ... + 3463587.

It is an arithmetic number, because the mean of its divisors is an integer number (4406164416).

Almost surely, 2233453034192 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 233453034192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352493153280).

233453034192 is an abundant number, since it is smaller than the sum of its proper divisors (471533272368).

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

233453034192 is a wasteful number, since it uses less digits than its factorization.

233453034192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68321 (or 68315 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 233453034192 in words is "two hundred thirty-three billion, four hundred fifty-three million, thirty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 173 177 236 336 346 354 413 472 519 692 708 826 944 1038 1211 1239 1384 1416 1652 2076 2422 2478 2768 2832 3304 3633 4152 4844 4956 6608 7266 8304 9688 9912 10207 14532 19376 19824 20414 29064 30621 40828 58128 61242 68071 71449 81656 122484 136142 142898 163312 204213 214347 244968 272284 285796 408426 428694 476497 489936 544568 571592 816852 857388 952994 1089136 1143184 1429491 1633704 1714776 1905988 2858982 3267408 3429552 3811976 4016189 5717964 7623952 8032378 11435928 11776283 12048567 16064756 22871856 23552566 24097134 28113323 32129512 35328849 47105132 48194268 56226646 64259024 70657698 82433981 84339969 94210264 96388536 112453292 141315396 164867962 168679938 188420528 192777072 224906584 247301943 282630792 329735924 337359876 449813168 494603886 565261584 659471848 674719752 694800697 989207772 1318943696 1349439504 1389601394 1978415544 2084402091 2779202788 3956831088 4168804182 4863604879 5558405576 8337608364 9727209758 11116811152 14590814637 16675216728 19454419516 29181629274 33350433456 38908839032 58363258548 77817678064 116726517096 233453034192