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2330031120 = 243546720789
BaseRepresentation
bin1000101011100001…
…0111010000010000
320000101100211210220
42022320113100100
514232441443440
61023112353040
7111511636434
oct21270272020
96011324726
102330031120
11a9627295a
125503a5780
132b195b351
141816489c4
15d98548d0
hex8ae17410

2330031120 has 80 divisors (see below), whose sum is σ = 7238911680. Its totient is φ = 619981312.

The previous prime is 2330031113. The next prime is 2330031163. The reversal of 2330031120 is 211300332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2330031120.

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, 101686 + ... + 122474.

It is an arithmetic number, because the mean of its divisors is an integer number (90486396).

Almost surely, 22330031120 is an apocalyptic number.

2330031120 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 2330031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619455840).

2330031120 is an abundant number, since it is smaller than the sum of its proper divisors (4908880560).

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

2330031120 is a wasteful number, since it uses less digits than its factorization.

2330031120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21272 (or 21266 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 2330031120 is about 48270.3958964498. The cubic root of 2330031120 is about 1325.7264074309.

Adding to 2330031120 its reverse (211300332), we get a palindrome (2541331452).

The spelling of 2330031120 in words is "two billion, three hundred thirty million, thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 467 934 1401 1868 2335 2802 3736 4670 5604 7005 7472 9340 11208 14010 18680 20789 22416 28020 37360 41578 56040 62367 83156 103945 112080 124734 166312 207890 249468 311835 332624 415780 498936 623670 831560 997872 1247340 1663120 2494680 4989360 9708463 19416926 29125389 38833852 48542315 58250778 77667704 97084630 116501556 145626945 155335408 194169260 233003112 291253890 388338520 466006224 582507780 776677040 1165015560 2330031120