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2152343200 = 255271971951
BaseRepresentation
bin1000000001001010…
…0010011010100000
312120000000100210211
42000102202122200
513401444440300
6553324103504
7104223421030
oct20022423240
95500010724
102152343200
11a04a3a337
12500994b94
13283bb6977
14165bd38c0
15c8e564ba
hex804a26a0

2152343200 has 144 divisors (see below), whose sum is σ = 6038613504. Its totient is φ = 733824000.

The previous prime is 2152343189. The next prime is 2152343201. The reversal of 2152343200 is 23432512.

It is not an unprimeable number, because it can be changed into a prime (2152343201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1102225 + ... + 1104175.

It is an arithmetic number, because the mean of its divisors is an integer number (41934816).

Almost surely, 22152343200 is an apocalyptic number.

2152343200 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 2152343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019306752).

2152343200 is an abundant number, since it is smaller than the sum of its proper divisors (3886270304).

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

2152343200 is a wasteful number, since it uses less digits than its factorization.

2152343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2152343200 is about 46393.3529721662. The cubic root of 2152343200 is about 1291.1315912547.

Adding to 2152343200 its reverse (23432512), we get a palindrome (2175775712).

The spelling of 2152343200 in words is "two billion, one hundred fifty-two million, three hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 197 200 224 280 350 394 400 560 700 788 800 985 1120 1379 1400 1576 1951 1970 2758 2800 3152 3902 3940 4925 5516 5600 6304 6895 7804 7880 9755 9850 11032 13657 13790 15608 15760 19510 19700 22064 27314 27580 31216 31520 34475 39020 39400 44128 48775 54628 55160 62432 68285 68950 78040 78800 97550 109256 110320 136570 137900 156080 157600 195100 218512 220640 273140 275800 312160 341425 384347 390200 437024 546280 551600 682850 768694 780400 1092560 1103200 1365700 1537388 1560800 1921735 2185120 2690429 2731400 3074776 3843470 5380858 5462800 6149552 7686940 9608675 10761716 10925600 12299104 13452145 15373880 19217350 21523432 26904290 30747760 38434700 43046864 53808580 61495520 67260725 76869400 86093728 107617160 134521450 153738800 215234320 269042900 307477600 430468640 538085800 1076171600 2152343200