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2820860222080 = 27517259270241
BaseRepresentation
bin101001000011001000010…
…111110001101010000000
3100222200010121011200001111
4221003020113301222000
5332204110204101310
65555515120213104
7410541355161055
oct51031027615200
910880117150044
102820860222080
1199835806813a
1239685046a194
13176010195604
149a75d46102c
154d59c80b28a
hex290c85f1a80

2820860222080 has 64 divisors (see below), whose sum is σ = 7140302464680. Its totient is φ = 1061970903040.

The previous prime is 2820860222021. The next prime is 2820860222087. The reversal of 2820860222080 is 802220680282.

It can be written as a sum of positive squares in 4 ways, for example, as 2753555259456 + 67304962624 = 1659384^2 + 259432^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2820860222087) 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, 129624241 + ... + 129646000.

Almost surely, 22820860222080 is an apocalyptic number.

2820860222080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820860222080 is an abundant number, since it is smaller than the sum of its proper divisors (4319442242600).

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

2820860222080 is a wasteful number, since it uses less digits than its factorization.

2820860222080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259270277 (or 259270265 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 2820860222080 in words is "two trillion, eight hundred twenty billion, eight hundred sixty million, two hundred twenty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 272 320 340 544 640 680 1088 1360 2176 2720 5440 10880 259270241 518540482 1037080964 1296351205 2074161928 2592702410 4148323856 4407594097 5185404820 8296647712 8815188194 10370809640 16593295424 17630376388 20741619280 22037970485 33186590848 35260752776 41483238560 44075940970 70521505552 82966477120 88151881940 141043011104 165932954240 176303763880 282086022208 352607527760 564172044416 705215055520 1410430111040 2820860222080