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2312433120 = 25358358043
BaseRepresentation
bin1000100111010100…
…1110110111100000
312222011020202220010
42021311032313200
514213440324440
61021243244520
7111206233344
oct21165166740
95864222803
102312433120
11a87343258
12546519740
132ab10932a
1417d187624
15d802a580
hex89d4ede0

2312433120 has 96 divisors (see below), whose sum is σ = 7372052352. Its totient is φ = 609208832.

The previous prime is 2312433119. The next prime is 2312433163. The reversal of 2312433120 is 213342132.

2312433120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10819 + ... + 68861.

It is an arithmetic number, because the mean of its divisors is an integer number (76792212).

Almost surely, 22312433120 is an apocalyptic number.

2312433120 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 2312433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686026176).

2312433120 is an abundant number, since it is smaller than the sum of its proper divisors (5059619232).

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

2312433120 is a wasteful number, since it uses less digits than its factorization.

2312433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58144 (or 58136 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2312433120 is about 48087.7647640229. The cubic root of 2312433120 is about 1322.3803697045.

Adding to 2312433120 its reverse (213342132), we get a palindrome (2525775252).

The spelling of 2312433120 in words is "two billion, three hundred twelve million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 58043 116086 174129 232172 290215 348258 464344 580430 696516 870645 928688 1160860 1393032 1741290 1857376 2321720 2786064 3482580 4643440 4817569 5572128 6965160 9286880 9635138 13930320 14452707 19270276 24087845 27860640 28905414 38540552 48175690 57810828 72263535 77081104 96351380 115621656 144527070 154162208 192702760 231243312 289054140 385405520 462486624 578108280 770811040 1156216560 2312433120