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2115143200 = 2552972281
BaseRepresentation
bin111111000010010…
…1000011000100000
312110102000102000001
41332010220120200
513312434040300
6545514505344
7103262264152
oct17604503040
95412012001
102115143200
11995a41435
124b0435254
13279290731
14160cacad2
15c5a5916a
hex7e128620

2115143200 has 108 divisors (see below), whose sum is σ = 5235942222. Its totient is φ = 834355200.

The previous prime is 2115143197. The next prime is 2115143201. The reversal of 2115143200 is 23415112.

It can be written as a sum of positive squares in 9 ways, for example, as 172449424 + 1942693776 = 13132^2 + 44076^2 .

It is not an unprimeable number, because it can be changed into a prime (2115143201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7527060 + ... + 7527340.

Almost surely, 22115143200 is an apocalyptic number.

2115143200 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 2115143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617971111).

2115143200 is an abundant number, since it is smaller than the sum of its proper divisors (3120799022).

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

2115143200 is an equidigital number, since it uses as much as digits as its factorization.

2115143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2115143200 is about 45990.6860135832. The cubic root of 2115143200 is about 1283.6499014768.

Adding to 2115143200 its reverse (23415112), we get a palindrome (2138558312).

The spelling of 2115143200 in words is "two billion, one hundred fifteen million, one hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 160 194 200 281 388 400 485 562 776 800 970 1124 1405 1552 1940 2248 2425 2810 3104 3880 4496 4850 5620 7025 7760 8992 9409 9700 11240 14050 15520 18818 19400 22480 27257 28100 37636 38800 44960 47045 54514 56200 75272 77600 94090 109028 112400 136285 150544 188180 218056 224800 235225 272570 301088 376360 436112 470450 545140 681425 752720 872224 940900 1090280 1362850 1505440 1881800 2180560 2643929 2725700 3763600 4361120 5287858 5451400 7527200 10575716 10902800 13219645 21151432 21805600 26439290 42302864 52878580 66098225 84605728 105757160 132196450 211514320 264392900 423028640 528785800 1057571600 2115143200