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11232234420 = 22351194717971
BaseRepresentation
bin10100111010111111…
…00100101110110100
31001222210102121222020
422131133210232310
5141000423000140
65054321433140
7545226263061
oct123537445664
931883377866
1011232234420
114844337a70
12221579b7b0
1310a0089974
14787a83c68
1545b1646d0
hex29d7e4bb4

11232234420 has 96 divisors (see below), whose sum is σ = 34347511296. Its totient is φ = 2719939200.

The previous prime is 11232234401. The next prime is 11232234439. The reversal of 11232234420 is 2443223211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11232234401) and next prime (11232234439).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 616035 + ... + 634005.

It is an arithmetic number, because the mean of its divisors is an integer number (357786576).

Almost surely, 211232234420 is an apocalyptic number.

11232234420 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 11232234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173755648).

11232234420 is an abundant number, since it is smaller than the sum of its proper divisors (23115276876).

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

11232234420 is a wasteful number, since it uses less digits than its factorization.

11232234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18941 (or 18939 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11232234420 its reverse (2443223211), we get a palindrome (13675457631).

The spelling of 11232234420 in words is "eleven billion, two hundred thirty-two million, two hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 947 1894 2841 3788 4735 5682 9470 10417 11364 14205 17971 18940 20834 28410 31251 35942 41668 52085 53913 56820 62502 71884 89855 104170 107826 125004 156255 179710 197681 208340 215652 269565 312510 359420 395362 539130 593043 625020 790724 988405 1078260 1186086 1976810 2372172 2965215 3953620 5930430 11860860 17018537 34037074 51055611 68074148 85092685 102111222 170185370 187203907 204222444 255278055 340370740 374407814 510556110 561611721 748815628 936019535 1021112220 1123223442 1872039070 2246446884 2808058605 3744078140 5616117210 11232234420