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1122143440 = 245119971279
BaseRepresentation
bin100001011100010…
…1000110011010000
32220012111210102011
41002320220303100
54244232042230
6303203232304
736544030135
oct10270506320
92805453364
101122143440
11526469a80
12273978694
1314b634902
14a906458c
15687abe2a
hex42e28cd0

1122143440 has 80 divisors (see below), whose sum is σ = 2851246080. Its totient is φ = 407324160.

The previous prime is 1122143419. The next prime is 1122143447. The reversal of 1122143440 is 443412211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122143447) 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, 876721 + ... + 877999.

It is an arithmetic number, because the mean of its divisors is an integer number (35640576).

Almost surely, 21122143440 is an apocalyptic number.

1122143440 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 1122143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425623040).

1122143440 is an abundant number, since it is smaller than the sum of its proper divisors (1729102640).

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

1122143440 is a wasteful number, since it uses less digits than its factorization.

1122143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1122143440 is about 33498.4095144829. The cubic root of 1122143440 is about 1039.1608862678.

Adding to 1122143440 its reverse (443412211), we get a palindrome (1565555651).

The spelling of 1122143440 in words is "one billion, one hundred twenty-two million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 997 1279 1994 2558 3988 4985 5116 6395 7976 9970 10232 10967 12790 14069 15952 19940 20464 21934 25580 28138 39880 43868 51160 54835 56276 70345 79760 87736 102320 109670 112552 140690 175472 219340 225104 281380 438680 562760 877360 1125520 1275163 2550326 5100652 6375815 10201304 12751630 14026793 20402608 25503260 28053586 51006520 56107172 70133965 102013040 112214344 140267930 224428688 280535860 561071720 1122143440