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234032045200 = 24526737923041
BaseRepresentation
bin1101100111110101100…
…1011001110010010000
3211101002002120201001221
43121331121121302100
512313244200421300
6255302434534424
722623350363452
oct3317531316220
9741062521057
10234032045200
1190285a96498
1239434a37414
13190b8b45825
14b481c222d2
15614b05331a
hex367d659c90

234032045200 has 120 divisors (see below), whose sum is σ = 572184474080. Its totient is φ = 91968307200.

The previous prime is 234032045173. The next prime is 234032045323. The reversal of 234032045200 is 2540230432.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10145680 + ... + 10168720.

Almost surely, 2234032045200 is an apocalyptic number.

234032045200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234032045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286092237040).

234032045200 is an abundant number, since it is smaller than the sum of its proper divisors (338152428880).

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

234032045200 is a wasteful number, since it uses less digits than its factorization.

234032045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23505 (or 23494 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 234032045200 its reverse (2540230432), we get a palindrome (236572275632).

The spelling of 234032045200 in words is "two hundred thirty-four billion, thirty-two million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 134 200 268 335 379 400 536 670 758 1072 1340 1516 1675 1895 2680 3032 3350 3790 5360 6064 6700 7580 9475 13400 15160 18950 23041 25393 26800 30320 37900 46082 50786 75800 92164 101572 115205 126965 151600 184328 203144 230410 253930 368656 406288 460820 507860 576025 634825 921640 1015720 1152050 1269650 1543747 1843280 2031440 2304100 2539300 3087494 4608200 5078600 6174988 7718735 8732539 9216400 10157200 12349976 15437470 17465078 24699952 30874940 34930156 38593675 43662695 61749880 69860312 77187350 87325390 123499760 139720624 154374700 174650780 218313475 308749400 349301560 436626950 585080113 617498800 698603120 873253900 1170160226 1746507800 2340320452 2925400565 3493015600 4680640904 5850801130 9361281808 11701602260 14627002825 23403204520 29254005650 46806409040 58508011300 117016022600 234032045200