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2152344160 = 255172573079
BaseRepresentation
bin1000000001001010…
…0010101001100000
312120000000102010101
42000102202221200
513402000003120
6553324112144
7104223423601
oct20022425140
95500012111
102152344160
11a04a4002a
12500995654
13283bb7235
14165bd3da8
15c8e5690a
hex804a2a60

2152344160 has 96 divisors (see below), whose sum is σ = 5406730560. Its totient is φ = 806879232.

The previous prime is 2152344137. The next prime is 2152344203. The reversal of 2152344160 is 614432512.

It is a super-2 number, since 2×21523441602 = 9265170766172211200, which contains 22 as substring.

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, 697501 + ... + 700579.

It is an arithmetic number, because the mean of its divisors is an integer number (56320110).

Almost surely, 22152344160 is an apocalyptic number.

2152344160 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 2152344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703365280).

2152344160 is an abundant number, since it is smaller than the sum of its proper divisors (3254386400).

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

2152344160 is a wasteful number, since it uses less digits than its factorization.

2152344160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2152344160 is about 46393.3633184748. The cubic root of 2152344160 is about 1291.1317832139.

Adding to 2152344160 its reverse (614432512), we get a palindrome (2766776672).

The spelling of 2152344160 in words is "two billion, one hundred fifty-two million, three hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 257 272 340 514 544 680 1028 1285 1360 2056 2570 2720 3079 4112 4369 5140 6158 8224 8738 10280 12316 15395 17476 20560 21845 24632 30790 34952 41120 43690 49264 52343 61580 69904 87380 98528 104686 123160 139808 174760 209372 246320 261715 349520 418744 492640 523430 699040 791303 837488 1046860 1582606 1674976 2093720 3165212 3956515 4187440 6330424 7913030 8374880 12660848 13452151 15826060 25321696 26904302 31652120 53808604 63304240 67260755 107617208 126608480 134521510 215234416 269043020 430468832 538086040 1076172080 2152344160