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2010218992 = 241712758193
BaseRepresentation
bin111011111010001…
…1000000111110000
312012002120201001021
41313310120013300
513104104001432
6531245545224
7100546402525
oct16764300760
95162521037
102010218992
11941797311
12481275214
132606147c2
14150d9914c
15bb730697
hex77d181f0

2010218992 has 40 divisors (see below), whose sum is σ = 4156448256. Its totient is φ = 938520576.

The previous prime is 2010218989. The next prime is 2010219011. The reversal of 2010218992 is 2998120102.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5448 + ... + 63640.

Almost surely, 22010218992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010218992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078224128).

2010218992 is an abundant number, since it is smaller than the sum of its proper divisors (2146229264).

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

2010218992 is a wasteful number, since it uses less digits than its factorization.

2010218992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58345 (or 58339 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 2010218992 is about 44835.4657832391. The cubic root of 2010218992 is about 1262.0632593451.

The spelling of 2010218992 in words is "two billion, ten million, two hundred eighteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 127 136 254 272 508 1016 2032 2159 4318 8636 17272 34544 58193 116386 232772 465544 931088 989281 1978562 3957124 7390511 7914248 14781022 15828496 29562044 59124088 118248176 125638687 251277374 502554748 1005109496 2010218992