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2010217352 = 2311137324071
BaseRepresentation
bin111011111010001…
…0111101110001000
312012002120121210112
41313310113232020
513104103423402
6531245533452
7100546364663
oct16764275610
95162517715
102010217352
11941796060
12481274288
13260613b30
14150d986da
15bb72ee52
hex77d17b88

2010217352 has 64 divisors (see below), whose sum is σ = 4488946560. Its totient is φ = 831859200.

The previous prime is 2010217327. The next prime is 2010217357. The reversal of 2010217352 is 2537120102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2010217357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71477 + ... + 95547.

It is an arithmetic number, because the mean of its divisors is an integer number (70139790).

Almost surely, 22010217352 is an apocalyptic number.

2010217352 is a gapful number since it is divisible by the number (22) 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 2010217352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244473280).

2010217352 is an abundant number, since it is smaller than the sum of its proper divisors (2478729208).

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

2010217352 is a wasteful number, since it uses less digits than its factorization.

2010217352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24174 (or 24170 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 2010217352 is about 44835.4474941424. The cubic root of 2010217352 is about 1262.0629161347.

Adding to 2010217352 its reverse (2537120102), we get a palindrome (4547337454).

The spelling of 2010217352 in words is "two billion, ten million, two hundred seventeen thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 73 88 104 143 146 286 292 572 584 803 949 1144 1606 1898 3212 3796 6424 7592 10439 20878 24071 41756 48142 83512 96284 192568 264781 312923 529562 625846 1059124 1251692 1757183 2118248 2503384 3442153 3514366 6884306 7028732 13768612 14057464 19329013 22843379 27537224 38658026 45686758 77316052 91373516 154632104 182747032 251277169 502554338 1005108676 2010217352