Search a number
-
+
2102332232 = 2371113833163
BaseRepresentation
bin111110101001111…
…0000101101001000
312102111220112122202
41331103300231020
513301144112412
6544340135332
7103045346330
oct17523605510
95374815582
102102332232
11989791360
124a8097548
13276726590
1415d2d60c0
15c48783c2
hex7d4f0b48

2102332232 has 128 divisors (see below), whose sum is σ = 5358044160. Its totient is φ = 746737920.

The previous prime is 2102332201. The next prime is 2102332241. The reversal of 2102332232 is 2322332012.

It is a super-2 number, since 2×21023322322 = 8839601627412203648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663083 + ... + 666245.

It is an arithmetic number, because the mean of its divisors is an integer number (41859720).

Almost surely, 22102332232 is an apocalyptic number.

2102332232 is a gapful number since it is divisible by the number (22) 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 2102332232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2679022080).

2102332232 is an abundant number, since it is smaller than the sum of its proper divisors (3255711928).

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

2102332232 is a wasteful number, since it uses less digits than its factorization.

2102332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2102332232 is about 45851.1966256062. The cubic root of 2102332232 is about 1281.0530543145.

Adding to 2102332232 its reverse (2322332012), we get a palindrome (4424664244).

The spelling of 2102332232 in words is "two billion, one hundred two million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 83 88 91 104 143 154 166 182 286 308 332 364 572 581 616 664 728 913 1001 1079 1144 1162 1826 2002 2158 2324 3163 3652 4004 4316 4648 6326 6391 7304 7553 8008 8632 11869 12652 12782 15106 22141 23738 25304 25564 30212 34793 41119 44282 47476 51128 60424 69586 82238 83083 88564 94952 139172 164476 166166 177128 243551 262529 278344 287833 328952 332332 452309 487102 525058 575666 664664 904618 974204 1050116 1151332 1809236 1837703 1948408 2100232 2302664 2887819 3166163 3412877 3618472 3675406 5775638 6332326 6825754 7350812 11551276 12664652 13651508 14701624 20214733 23102552 23890139 25329304 27303016 37541647 40429466 47780278 75083294 80858932 95560556 150166588 161717864 191121112 262791529 300333176 525583058 1051166116 2102332232