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2334515140 = 2251731613631
BaseRepresentation
bin1000101100100101…
…1101111111000100
320000200210122201201
42023021131333010
514240113441030
61023352432244
7111565023406
oct21311357704
96020718651
102334515140
11a98855861
125519a8684
132b286b309
14182094b76
15d9e3d2ca
hex8b25dfc4

2334515140 has 96 divisors (see below), whose sum is σ = 5447651328. Its totient is φ = 836352000.

The previous prime is 2334515129. The next prime is 2334515153. The reversal of 2334515140 is 415154332.

It is a junction number, because it is equal to n+sod(n) for n = 2334515099 and 2334515108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641125 + ... + 644755.

It is an arithmetic number, because the mean of its divisors is an integer number (56746368).

Almost surely, 22334515140 is an apocalyptic number.

2334515140 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 2334515140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723825664).

2334515140 is an abundant number, since it is smaller than the sum of its proper divisors (3113136188).

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

2334515140 is a wasteful number, since it uses less digits than its factorization.

2334515140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2334515140 is about 48316.8204665829. The cubic root of 2334515140 is about 1326.5762922817.

Adding to 2334515140 its reverse (415154332), we get a palindrome (2749669472).

The spelling of 2334515140 in words is "two billion, three hundred thirty-four million, five hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 61 62 68 85 122 124 155 170 244 305 310 340 527 610 620 1037 1054 1220 1891 2074 2108 2635 3631 3782 4148 5185 5270 7262 7564 9455 10370 10540 14524 18155 18910 20740 32147 36310 37820 61727 64294 72620 112561 123454 128588 160735 221491 225122 246908 308635 321470 442982 450244 562805 617270 642940 885964 1107455 1125610 1234540 1913537 2214910 2251220 3765347 3827074 4429820 6866221 7530694 7654148 9567685 13732442 15061388 18826735 19135370 27464884 34331105 37653470 38270740 68662210 75306940 116725757 137324420 233451514 466903028 583628785 1167257570 2334515140