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2212466025 = 3527112316657
BaseRepresentation
bin1000001111011111…
…1000110101101001
312201012010220211010
42003313320311221
514012342403100
61003312454133
7105553436160
oct20367706551
95635126733
102212466025
11a35974520
12518b4a349
132934a77c3
1416dba43d7
15ce380750
hex83df8d69

2212466025 has 96 divisors (see below), whose sum is σ = 4759123968. Its totient is φ = 879436800.

The previous prime is 2212466017. The next prime is 2212466051. The reversal of 2212466025 is 5206642122.

It is a happy number.

It is not a de Polignac number, because 2212466025 - 23 = 2212466017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2212465983 and 2212466001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124497 + ... + 141153.

It is an arithmetic number, because the mean of its divisors is an integer number (49574208).

Almost surely, 22212466025 is an apocalyptic number.

2212466025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2212466025 is an abundant number, since it is smaller than the sum of its proper divisors (2546657943).

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

2212466025 is a wasteful number, since it uses less digits than its factorization.

2212466025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16711 (or 16706 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2212466025 is about 47036.8581540051. The cubic root of 2212466025 is about 1303.0433677852.

The spelling of 2212466025 in words is "two billion, two hundred twelve million, four hundred sixty-six thousand, twenty-five".

Divisors: 1 3 5 7 11 15 21 23 25 33 35 55 69 75 77 105 115 161 165 175 231 253 275 345 385 483 525 575 759 805 825 1155 1265 1725 1771 1925 2415 3795 4025 5313 5775 6325 8855 12075 16657 18975 26565 44275 49971 83285 116599 132825 183227 249855 349797 383111 416425 549681 582995 916135 1149333 1249275 1282589 1748985 1915555 2681777 2748405 2914975 3847767 4214221 4580675 5746665 6412945 8045331 8744925 9577775 12642663 13408885 13742025 19238835 21071105 28733325 29499547 32064725 40226655 63213315 67044425 88498641 96194175 105355525 147497735 201133275 316066575 442493205 737488675 2212466025