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1222355340 = 223355993779
BaseRepresentation
bin100100011011011…
…1010100110001100
310011012002002022000
41020312322212030
510000410332330
6321143152300
742201564123
oct11066724614
93135062260
101222355340
11577a95728
122a1445690
131663209ab
14b84acaba
15724a4560
hex48dba98c

1222355340 has 96 divisors (see below), whose sum is σ = 3810240000. Its totient is φ = 325331136.

The previous prime is 1222355317. The next prime is 1222355341. The reversal of 1222355340 is 435532221.

It is a happy number.

1222355340 is a `hidden beast` number, since 122 + 2 + 3 + 5 + 534 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1222355341) 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, 321571 + ... + 325349.

It is an arithmetic number, because the mean of its divisors is an integer number (39690000).

Almost surely, 21222355340 is an apocalyptic number.

1222355340 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 1222355340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120000).

1222355340 is an abundant number, since it is smaller than the sum of its proper divisors (2587884660).

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

1222355340 is a wasteful number, since it uses less digits than its factorization.

1222355340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1222355340 is about 34962.1987294850. The cubic root of 1222355340 is about 1069.2169249388.

Adding to 1222355340 its reverse (435532221), we get a palindrome (1657887561).

The spelling of 1222355340 in words is "one billion, two hundred twenty-two million, three hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 599 1198 1797 2396 2995 3594 3779 5391 5990 7188 7558 8985 10782 11337 11980 15116 16173 17970 18895 21564 22674 26955 32346 34011 35940 37790 45348 53910 56685 64692 68022 75580 80865 102033 107820 113370 136044 161730 170055 204066 226740 323460 340110 408132 510165 680220 1020330 2040660 2263621 4527242 6790863 9054484 11318105 13581726 20372589 22636210 27163452 33954315 40745178 45272420 61117767 67908630 81490356 101862945 122235534 135817260 203725890 244471068 305588835 407451780 611177670 1222355340