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2098220580 = 2232517977069
BaseRepresentation
bin111110100010000…
…0100111000100100
312102020011122112100
41331010010320210
513244121024310
6544112052100
7102665403111
oct17504047044
95366148470
102098220580
119874331a5
124a6834030
13275916c51
1415c945908
15c4314ec0
hex7d104e24

2098220580 has 144 divisors (see below), whose sum is σ = 6809428080. Its totient is φ = 521109504.

The previous prime is 2098220573. The next prime is 2098220587. The reversal of 2098220580 is 850228902.

It is an interprime number because it is at equal distance from previous prime (2098220573) and next prime (2098220587).

It can be written as a sum of positive squares in 8 ways, for example, as 1313316 + 2096907264 = 1146^2 + 45792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2098220587) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 293286 + ... + 300354.

It is an arithmetic number, because the mean of its divisors is an integer number (47287695).

Almost surely, 22098220580 is an apocalyptic number.

2098220580 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 2098220580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404714040).

2098220580 is an abundant number, since it is smaller than the sum of its proper divisors (4711207500).

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

2098220580 is a wasteful number, since it uses less digits than its factorization.

2098220580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7198 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2098220580 is about 45806.3377710989. The cubic root of 2098220580 is about 1280.2173662429.

The spelling of 2098220580 in words is "two billion, ninety-eight million, two hundred twenty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 97 102 153 170 180 194 204 255 291 306 340 388 485 510 582 612 765 873 970 1020 1164 1455 1530 1649 1746 1940 2910 3060 3298 3492 4365 4947 5820 6596 7069 8245 8730 9894 14138 14841 16490 17460 19788 21207 24735 28276 29682 32980 35345 42414 49470 59364 63621 70690 74205 84828 98940 106035 120173 127242 141380 148410 212070 240346 254484 296820 318105 360519 424140 480692 600865 636210 685693 721038 1081557 1201730 1272420 1371386 1442076 1802595 2057079 2163114 2403460 2742772 3428465 3605190 4114158 4326228 5407785 6171237 6856930 7210380 8228316 10285395 10815570 11656781 12342474 13713860 20570790 21631140 23313562 24684948 30856185 34970343 41141580 46627124 58283905 61712370 69940686 104911029 116567810 123424740 139881372 174851715 209822058 233135620 349703430 419644116 524555145 699406860 1049110290 2098220580