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1822185820 = 2257132334297
BaseRepresentation
bin110110010011100…
…0101100101011100
311200222202122000201
41230213011211130
512212434421240
6500451433244
763104216050
oct15447054534
94628678021
101822185820
118556381a4
1242a2b5824
1323068a380
1413400dc60
15a9e8bd9a
hex6c9c595c

1822185820 has 96 divisors (see below), whose sum is σ = 4730963328. Its totient is φ = 574083072.

The previous prime is 1822185773. The next prime is 1822185821. The reversal of 1822185820 is 285812281.

It is a super-2 number, since 2×18221858202 = 6640722325218144800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1822185820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822185821) 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, 421912 + ... + 426208.

It is an arithmetic number, because the mean of its divisors is an integer number (49280868).

Almost surely, 21822185820 is an apocalyptic number.

1822185820 is a gapful number since it is divisible by the number (10) 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 1822185820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365481664).

1822185820 is an abundant number, since it is smaller than the sum of its proper divisors (2908777508).

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

1822185820 is a wasteful number, since it uses less digits than its factorization.

1822185820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4559 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 1822185820 is about 42687.0685336906. The cubic root of 1822185820 is about 1221.4177328391.

The spelling of 1822185820 in words is "one billion, eight hundred twenty-two million, one hundred eighty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 233 260 364 455 466 910 932 1165 1631 1820 2330 3029 3262 4297 4660 6058 6524 8155 8594 12116 15145 16310 17188 21203 21485 30079 30290 32620 42406 42970 55861 60158 60580 84812 85940 106015 111722 120316 150395 212030 223444 279305 300790 391027 424060 558610 601580 782054 1001201 1117220 1564108 1955135 2002402 3910270 4004804 5006005 7008407 7820540 10012010 13015613 14016814 20024020 26031226 28033628 35042035 52062452 65078065 70084070 91109291 130156130 140168140 182218582 260312260 364437164 455546455 911092910 1822185820