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2332041140 = 2251113262723
BaseRepresentation
bin1000101100000000…
…0001111110110100
320000112010222001002
42023000001332310
514234000304030
61023223422432
7111535010522
oct21300017664
96015128032
102332041140
11a97416030
12550bb4a18
132b21b3200
14181a0d312
15d9b00245
hex8b001fb4

2332041140 has 72 divisors (see below), whose sum is σ = 5785159968. Its totient is φ = 782770560.

The previous prime is 2332041121. The next prime is 2332041161. The reversal of 2332041140 is 411402332.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5819 + ... + 68541.

It is an arithmetic number, because the mean of its divisors is an integer number (80349444).

Almost surely, 22332041140 is an apocalyptic number.

2332041140 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 2332041140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892579984).

2332041140 is an abundant number, since it is smaller than the sum of its proper divisors (3453118828).

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

2332041140 is a wasteful number, since it uses less digits than its factorization.

2332041140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62769 (or 62754 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2332041140 is about 48291.2118298972. The cubic root of 2332041140 is about 1326.1075140300.

Adding to 2332041140 its reverse (411402332), we get a palindrome (2743443472).

The spelling of 2332041140 in words is "two billion, three hundred thirty-two million, forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 286 338 572 676 715 845 1430 1690 1859 2860 3380 3718 7436 9295 18590 37180 62723 125446 250892 313615 627230 689953 815399 1254460 1379906 1630798 2759812 3261596 3449765 4076995 6899530 8153990 8969389 10600187 13799060 16307980 17938778 21200374 35877556 42400748 44846945 53000935 89693890 106001870 116602057 179387780 212003740 233204114 466408228 583010285 1166020570 2332041140