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1122868440 = 233351377589
BaseRepresentation
bin100001011101101…
…1001110011011000
32220020212121221000
41002323121303120
54244423242230
6303230545000
736553136631
oct10273316330
92806777830
101122868440
11526914751
12274068160
1314b8298c5
14a91b2888
15688a1b60
hex42ed9cd8

1122868440 has 128 divisors (see below), whose sum is σ = 3770712000. Its totient is φ = 297206784.

The previous prime is 1122868427. The next prime is 1122868451. The reversal of 1122868440 is 448682211.

1122868440 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1122868395 and 1122868404.

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, 144166 + ... + 151754.

Almost surely, 21122868440 is an apocalyptic number.

1122868440 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 1122868440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885356000).

1122868440 is an abundant number, since it is smaller than the sum of its proper divisors (2647843560).

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

1122868440 is a wasteful number, since it uses less digits than its factorization.

1122868440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7746 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1122868440 is about 33509.2291764523. The cubic root of 1122868440 is about 1039.3846334949.

The spelling of 1122868440 in words is "one billion, one hundred twenty-two million, eight hundred sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 137 180 216 270 274 360 411 540 548 685 822 1080 1096 1233 1370 1644 2055 2466 2740 3288 3699 4110 4932 5480 6165 7398 7589 8220 9864 12330 14796 15178 16440 18495 22767 24660 29592 30356 36990 37945 45534 49320 60712 68301 73980 75890 91068 113835 136602 147960 151780 182136 204903 227670 273204 303560 341505 409806 455340 546408 683010 819612 910680 1024515 1039693 1366020 1639224 2049030 2079386 2732040 3119079 4098060 4158772 5198465 6238158 8196120 8317544 9357237 10396930 12476316 15595395 18714474 20793860 24952632 28071711 31190790 37428948 41587720 46786185 56143422 62381580 74857896 93572370 112286844 124763160 140358555 187144740 224573688 280717110 374289480 561434220 1122868440