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212402010 = 23523541569
BaseRepresentation
bin11001010100011…
…11111101011010
3112210200010210010
430222033331122
5413333331020
633024302350
75156246562
oct1452177532
9483603703
10212402010
11a9993857
125b1719b6
133500a282
14202cdda2
15139a8de0
hexca8ff5a

212402010 has 64 divisors (see below), whose sum is σ = 533848320. Its totient is φ = 53982720.

The previous prime is 212402009. The next prime is 212402023. The reversal of 212402010 is 10204212.

It is a super-2 number, since 2×2124020102 = 90229227704080200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373006 + ... + 373574.

It is an arithmetic number, because the mean of its divisors is an integer number (8341380).

Almost surely, 2212402010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212402010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266924160).

212402010 is an abundant number, since it is smaller than the sum of its proper divisors (321446310).

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

212402010 is a wasteful number, since it uses less digits than its factorization.

212402010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 212402010 is about 14574.0183202849. The cubic root of 212402010 is about 596.6498568273.

Adding to 212402010 its reverse (10204212), we get a palindrome (222606222).

The spelling of 212402010 in words is "two hundred twelve million, four hundred two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 541 569 690 1082 1138 1623 1707 2705 2845 3246 3414 5410 5690 8115 8535 12443 13087 16230 17070 24886 26174 37329 39261 62215 65435 74658 78522 124430 130870 186645 196305 307829 373290 392610 615658 923487 1539145 1846974 3078290 4617435 7080067 9234870 14160134 21240201 35400335 42480402 70800670 106201005 212402010