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833233240 = 235721721471
BaseRepresentation
bin110001101010100…
…010000101011000
32011001212122010101
4301222202011120
53201301430430
6214403025144
726435236300
oct6152420530
92131778111
10833233240
1139837a514
121b306b1b4
1310381a728
147c93a600
154d23ddca
hex31aa2158

833233240 has 144 divisors (see below), whose sum is σ = 2318267520. Its totient is φ = 268692480.

The previous prime is 833233211. The next prime is 833233241. The reversal of 833233240 is 42332338.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 833233199 and 833233208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (833233241) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 565705 + ... + 567175.

It is an arithmetic number, because the mean of its divisors is an integer number (16099080).

Almost surely, 2833233240 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 833233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159133760).

833233240 is an abundant number, since it is smaller than the sum of its proper divisors (1485034280).

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

833233240 is a wasteful number, since it uses less digits than its factorization.

833233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

The square root of 833233240 is about 28865.7797400313. The cubic root of 833233240 is about 940.9983507993.

Adding to 833233240 its reverse (42332338), we get a palindrome (875565578).

It can be divided in two parts, 83 and 3233240, that added together give a palindrome (3233323).

The spelling of 833233240 in words is "eight hundred thirty-three million, two hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 289 340 392 476 490 578 595 680 833 952 980 1156 1190 1445 1471 1666 1960 2023 2312 2380 2890 2942 3332 4046 4165 4760 5780 5884 6664 7355 8092 8330 10115 10297 11560 11768 14161 14710 16184 16660 20230 20594 25007 28322 29420 33320 40460 41188 50014 51485 56644 58840 70805 72079 80920 82376 100028 102970 113288 125035 141610 144158 175049 200056 205940 250070 283220 288316 350098 360395 411880 425119 500140 566440 576632 700196 720790 850238 875245 1000280 1225343 1400392 1441580 1700476 1750490 2125595 2450686 2883160 2975833 3400952 3500980 4251190 4901372 5951666 6126715 7001960 8502380 9802744 11903332 12253430 14879165 17004760 20830831 23806664 24506860 29758330 41661662 49013720 59516660 83323324 104154155 119033320 166646648 208308310 416616620 833233240