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2175020010 = 2325291734817
BaseRepresentation
bin1000000110100100…
…0010101111101010
312121120200110112200
42001221002233222
513423301120020
6555454121030
7104620236132
oct20151025752
95546613480
102175020010
11a168187a9
125084b0176
132887c65b7
14168c17ac2
15cae35590
hex81a42bea

2175020010 has 96 divisors (see below), whose sum is σ = 5885090640. Its totient is φ = 556652544.

The previous prime is 2175019993. The next prime is 2175020011. The reversal of 2175020010 is 100205712.

It can be written as a sum of positive squares in 8 ways, for example, as 961682121 + 1213337889 = 31011^2 + 34833^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2175020011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449122 + ... + 453938.

Almost surely, 22175020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2175020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942545320).

2175020010 is an abundant number, since it is smaller than the sum of its proper divisors (3710070630).

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

2175020010 is a wasteful number, since it uses less digits than its factorization.

2175020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2175020010 is about 46637.1097946689. The cubic root of 2175020010 is about 1295.6501577726.

Adding to 2175020010 its reverse (100205712), we get a palindrome (2275225722).

The spelling of 2175020010 in words is "two billion, one hundred seventy-five million, twenty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 173 174 261 290 346 435 519 522 865 870 1038 1305 1557 1730 2595 2610 3114 4817 5017 5190 7785 9634 10034 14451 15051 15570 24085 25085 28902 30102 43353 45153 48170 50170 72255 75255 86706 90306 139693 144510 150510 216765 225765 279386 419079 433530 451530 698465 833341 838158 1257237 1396930 1666682 2095395 2500023 2514474 4166705 4190790 5000046 6286185 7500069 8333410 12500115 12572370 15000138 24166889 25000230 37500345 48333778 72500667 75000690 120834445 145001334 217502001 241668890 362503335 435004002 725006670 1087510005 2175020010