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2212432032 = 253591672339
BaseRepresentation
bin1000001111011111…
…0000100010100000
312201012002012012010
42003313300202200
514012340311112
61003312032520
7105553235106
oct20367604240
95635065163
102212432032
11a35950a28
12518b32740
132934951a5
1416db95c76
15ce37563c
hex83df08a0

2212432032 has 96 divisors (see below), whose sum is σ = 5943974400. Its totient is φ = 720328448.

The previous prime is 2212431989. The next prime is 2212432063. The reversal of 2212432032 is 2302342122.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 944719 + ... + 947057.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 22212432032 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 2212432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971987200).

2212432032 is an abundant number, since it is smaller than the sum of its proper divisors (3731542368).

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

2212432032 is a wasteful number, since it uses less digits than its factorization.

2212432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2212432032 is about 47036.4968083296. The cubic root of 2212432032 is about 1303.0366942997.

Adding to 2212432032 its reverse (2302342122), we get a palindrome (4514774154).

The spelling of 2212432032 in words is "two billion, two hundred twelve million, four hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 167 177 236 334 354 472 501 668 708 944 1002 1336 1416 1888 2004 2339 2672 2832 4008 4678 5344 5664 7017 8016 9356 9853 14034 16032 18712 19706 28068 29559 37424 39412 56136 59118 74848 78824 112272 118236 138001 157648 224544 236472 276002 315296 390613 414003 472944 552004 781226 828006 945888 1104008 1171839 1562452 1656012 2208016 2343678 3124904 3312024 4416032 4687356 6249808 6624048 9374712 12499616 13248096 18749424 23046167 37498848 46092334 69138501 92184668 138277002 184369336 276554004 368738672 553108008 737477344 1106216016 2212432032