Search a number
-
+
832105230400 = 2652796583111
BaseRepresentation
bin11000001101111010101…
…01100011000001000000
32221112210211210102120001
430012331111203001000
5102113122414333100
61434132554525344
7114055225520563
oct14067525430100
92845724712501
10832105230400
112a0991789564
12115326436854
136060c541222
142c3ba21c4da
15169a1b67d6a
hexc1bd563040

832105230400 has 84 divisors (see below), whose sum is σ = 2073416955520. Its totient is φ = 328628851200.

The previous prime is 832105230353. The next prime is 832105230401. The reversal of 832105230400 is 4032501238.

It is a super-2 number, since 2×8321052304002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (832105230401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3165156 + ... + 3417955.

Almost surely, 2832105230400 is an apocalyptic number.

832105230400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

832105230400 is an abundant number, since it is smaller than the sum of its proper divisors (1241311725120).

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

832105230400 is a wasteful number, since it uses less digits than its factorization.

832105230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6583212 (or 6583197 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 832105230400 its reverse (4032501238), we get a palindrome (836137731638).

The spelling of 832105230400 in words is "eight hundred thirty-two billion, one hundred five million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 158 160 200 316 320 395 400 632 790 800 1264 1580 1600 1975 2528 3160 3950 5056 6320 7900 12640 15800 25280 31600 63200 126400 6583111 13166222 26332444 32915555 52664888 65831110 105329776 131662220 164577775 210659552 263324440 329155550 421319104 520065769 526648880 658311100 1040131538 1053297760 1316622200 2080263076 2106595520 2600328845 2633244400 4160526152 5200657690 5266488800 8321052304 10401315380 10532977600 13001644225 16642104608 20802630760 26003288450 33284209216 41605261520 52006576900 83210523040 104013153800 166421046080 208026307600 416052615200 832105230400