Search a number
-
+
1122024820 = 225717471439
BaseRepresentation
bin100001011100000…
…1011110101110100
32220012021202200211
41002320023311310
54244214243240
6303200515204
736543024250
oct10270136564
92805252624
101122024820
11526398944
1227391bb04
1314b5c2917
14a9033260
1568786bea
hex42e0bd74

1122024820 has 48 divisors (see below), whose sum is σ = 2851269120. Its totient is φ = 362064384.

The previous prime is 1122024817. The next prime is 1122024829. The reversal of 1122024820 is 284202211.

It is a junction number, because it is equal to n+sod(n) for n = 1122024791 and 1122024800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122024829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233340 + ... + 238099.

It is an arithmetic number, because the mean of its divisors is an integer number (59401440).

Almost surely, 21122024820 is an apocalyptic number.

1122024820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122024820 is an abundant number, since it is smaller than the sum of its proper divisors (1729244300).

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

1122024820 is a wasteful number, since it uses less digits than its factorization.

1122024820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471472 (or 471470 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 1122024820 is about 33496.6389358694. The cubic root of 1122024820 is about 1039.1242689622.

The spelling of 1122024820 in words is "one billion, one hundred twenty-two million, twenty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 471439 942878 1885756 2357195 3300073 4714390 6600146 8014463 9428780 13200292 16028926 16500365 32057852 33000730 40072315 56101241 66001460 80144630 112202482 160289260 224404964 280506205 561012410 1122024820