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20280220830 = 2335831735231
BaseRepresentation
bin10010111000110010…
…111001110010011110
31221100100210221222000
4102320302321302132
5313013214031310
613152215303130
71315364014152
oct227062716236
957310727860
1020280220830
118667724091
123b1b97aaa6
131bb276b98c
14da55cb062
157da66e4c0
hex4b8cb9c9e

20280220830 has 128 divisors (see below), whose sum is σ = 55059056640. Its totient is φ = 5311002240.

The previous prime is 20280220819. The next prime is 20280220841. The reversal of 20280220830 is 3802208202.

It is an interprime number because it is at equal distance from previous prime (20280220819) and next prime (20280220841).

It is a super-2 number, since 2×202802208302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20280220794 and 20280220803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3874315 + ... + 3879545.

It is an arithmetic number, because the mean of its divisors is an integer number (430148880).

Almost surely, 220280220830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20280220830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27529528320).

20280220830 is an abundant number, since it is smaller than the sum of its proper divisors (34778835810).

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

20280220830 is a wasteful number, since it uses less digits than its factorization.

20280220830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 20280220830 in words is "twenty billion, two hundred eighty million, two hundred twenty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 173 249 270 346 415 498 519 747 830 865 1038 1245 1494 1557 1730 2241 2490 2595 3114 3735 4482 4671 5190 5231 7470 7785 9342 10462 11205 14359 15570 15693 22410 23355 26155 28718 31386 43077 46710 47079 52310 71795 78465 86154 94158 129231 141237 143590 156930 215385 235395 258462 282474 387693 430770 434173 470790 646155 706185 775386 868346 904963 1292310 1302519 1412370 1809926 1938465 2170865 2605038 2714889 3876930 3907557 4341730 4524815 5429778 6512595 7815114 8144667 9049630 11722671 13025190 13574445 16289334 19537785 23445342 24434001 27148890 39075570 40723335 48868002 58613355 75111929 81446670 117226710 122170005 150223858 225335787 244340010 375559645 450671574 676007361 751119290 1126678935 1352014722 2028022083 2253357870 3380036805 4056044166 6760073610 10140110415 20280220830