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2332100320 = 255111498893
BaseRepresentation
bin1000101100000001…
…0000011011100000
320000112020222012221
42023000100123200
514234004202240
61023225000424
7111535345204
oct21300203340
96015228187
102332100320
11a97456540
12551023114
132b2204124
14181a26b04
15d9b12a4a
hex8b0106e0

2332100320 has 96 divisors (see below), whose sum is σ = 6051477600. Its totient is φ = 842250240.

The previous prime is 2332100317. The next prime is 2332100347. The reversal of 2332100320 is 230012332.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2332100294 and 2332100303.

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, 257794 + ... + 266686.

It is an arithmetic number, because the mean of its divisors is an integer number (63036225).

Almost surely, 22332100320 is an apocalyptic number.

2332100320 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 2332100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025738800).

2332100320 is an abundant number, since it is smaller than the sum of its proper divisors (3719377280).

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

2332100320 is a wasteful number, since it uses less digits than its factorization.

2332100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9068 (or 9060 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2332100320 is about 48291.8245668974. The cubic root of 2332100320 is about 1326.1187314392.

Adding to 2332100320 its reverse (230012332), we get a palindrome (2562112652).

The spelling of 2332100320 in words is "two billion, three hundred thirty-two million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 149 160 176 220 298 352 440 596 745 880 1192 1490 1639 1760 2384 2980 3278 4768 5960 6556 8195 8893 11920 13112 16390 17786 23840 26224 32780 35572 44465 52448 65560 71144 88930 97823 131120 142288 177860 195646 262240 284576 355720 391292 489115 711440 782584 978230 1325057 1422880 1565168 1956460 2650114 3130336 3912920 5300228 6625285 7825840 10600456 13250570 14575627 15651680 21200912 26501140 29151254 42401824 53002280 58302508 72878135 106004560 116605016 145756270 212009120 233210032 291512540 466420064 583025080 1166050160 2332100320