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2212108032 = 2838334703
BaseRepresentation
bin1000001111011010…
…0001011100000000
312201011110201202010
42003312201130000
514012244424112
61003301052520
7105550415361
oct20366413400
95634421663
102212108032
11a3574a562
125189b7140
132933b0884
1416db0db68
15ce30e63c
hex83da1700

2212108032 has 72 divisors (see below), whose sum is σ = 5958537984. Its totient is φ = 728464384.

The previous prime is 2212108027. The next prime is 2212108033. The reversal of 2212108032 is 2308012122.

It is a happy number.

It is a super-3 number, since 3×22121080323 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212108033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46393 + ... + 81095.

It is an arithmetic number, because the mean of its divisors is an integer number (82757472).

Almost surely, 22212108032 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 2212108032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979268992).

2212108032 is an abundant number, since it is smaller than the sum of its proper divisors (3746429952).

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

2212108032 is an equidigital number, since it uses as much as digits as its factorization.

2212108032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34805 (or 34791 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2212108032 is about 47033.0525481815. The cubic root of 2212108032 is about 1302.9730833814.

The spelling of 2212108032 in words is "two billion, two hundred twelve million, one hundred eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 768 996 1328 1992 2656 3984 5312 7968 10624 15936 21248 31872 34703 63744 69406 104109 138812 208218 277624 416436 555248 832872 1110496 1665744 2220992 2880349 3331488 4441984 5760698 6662976 8641047 8883968 11521396 13325952 17282094 23042792 26651904 34564188 46085584 69128376 92171168 138256752 184342336 276513504 368684672 553027008 737369344 1106054016 2212108032