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2273001660 = 22325172712741
BaseRepresentation
bin1000011101111011…
…0100000010111100
312212102001110002200
42013132310002330
514123342023120
61013314151500
7110220123666
oct20736640274
95772043080
102273001660
11a67060876
12535282590
132a2bb14c7
14177c41536
15d483be90
hex877b40bc

2273001660 has 144 divisors (see below), whose sum is σ = 7329958272. Its totient is φ = 568166400.

The previous prime is 2273001659. The next prime is 2273001671. The reversal of 2273001660 is 661003722.

It is a happy number.

2273001660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 827890 + ... + 830630.

It is an arithmetic number, because the mean of its divisors is an integer number (50902488).

Almost surely, 22273001660 is an apocalyptic number.

2273001660 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 2273001660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664979136).

2273001660 is an abundant number, since it is smaller than the sum of its proper divisors (5056956612).

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

2273001660 is a wasteful number, since it uses less digits than its factorization.

2273001660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2273001660 is about 47676.0071734200. The cubic root of 2273001660 is about 1314.8208558555.

The spelling of 2273001660 in words is "two billion, two hundred seventy-three million, one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 271 306 340 510 542 612 765 813 1020 1084 1355 1530 1626 2439 2710 2741 3060 3252 4065 4607 4878 5420 5482 8130 8223 9214 9756 10964 12195 13705 13821 16260 16446 18428 23035 24390 24669 27410 27642 32892 41115 41463 46070 46597 48780 49338 54820 55284 69105 82230 82926 92140 93194 98676 123345 138210 139791 164460 165852 186388 207315 232985 246690 276420 279582 414630 419373 465970 493380 559164 698955 742811 829260 838746 931940 1397910 1485622 1677492 2096865 2228433 2795820 2971244 3714055 4193730 4456866 6685299 7428110 8387460 8913732 11142165 12627787 13370598 14856220 22284330 25255574 26741196 33426495 37883361 44568660 50511148 63138935 66852990 75766722 113650083 126277870 133705980 151533444 189416805 227300166 252555740 378833610 454600332 568250415 757667220 1136500830 2273001660