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2266420064020 = 2257193397211283
BaseRepresentation
bin100000111110110001001…
…010011010111100010100
322000200000201012101101121
4200332301022122330110
5244113112014022040
64453102355333324
7322513000453420
oct40766112327424
98020021171347
102266420064020
117a420204a182
123072b75b1244
13135951424378
147b9a3d3bb80
153de4c615c4a
hex20fb129af14

2266420064020 has 96 divisors (see below), whose sum is σ = 5481389829888. Its totient is φ = 771081265152.

The previous prime is 2266420063979. The next prime is 2266420064021. The reversal of 2266420064020 is 204600246622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266420064021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10621299 + ... + 10832581.

It is an arithmetic number, because the mean of its divisors is an integer number (57097810728).

Almost surely, 22266420064020 is an apocalyptic number.

2266420064020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2266420064020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740694914944).

2266420064020 is an abundant number, since it is smaller than the sum of its proper divisors (3214969765868).

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

2266420064020 is a wasteful number, since it uses less digits than its factorization.

2266420064020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211889 (or 211887 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 2266420064020 in words is "two trillion, two hundred sixty-six billion, four hundred twenty million, sixty-four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 397 772 794 965 1351 1588 1930 1985 2702 2779 3860 3970 5404 5558 6755 7940 11116 13510 13895 27020 27790 55580 76621 153242 211283 306484 383105 422566 536347 766210 845132 1056415 1072694 1478981 1532420 2112830 2145388 2681735 2957962 4225660 5363470 5915924 7394905 10726940 14789810 29579620 40777619 81555238 83879351 163110476 167758702 203888095 285443333 335517404 407776190 419396755 570886666 587155457 815552380 838793510 1141773332 1174310914 1427216665 1677587020 2348621828 2854433330 2935777285 5708866660 5871554570 11743109140 16188714743 32377429486 64754858972 80943573715 113321003201 161887147430 226642006402 323774294860 453284012804 566605016005 1133210032010 2266420064020