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1122422112 = 253271929303
BaseRepresentation
bin100001011100110…
…1100110101100000
32220020000221200100
41002321230311200
54244320001422
6303213222400
736546300450
oct10271546540
92806027610
101122422112
1152663a389
12273a91a00
1314b7016c6
14a90d7d60
15688147ac
hex42e6cd60

1122422112 has 144 divisors (see below), whose sum is σ = 3839996160. Its totient is φ = 303803136.

The previous prime is 1122422111. The next prime is 1122422117. The reversal of 1122422112 is 2112242211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122422111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23653 + ... + 52955.

It is an arithmetic number, because the mean of its divisors is an integer number (26666640).

Almost surely, 21122422112 is an apocalyptic number.

1122422112 is a gapful number since it is divisible by the number (12) 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 1122422112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919998080).

1122422112 is an abundant number, since it is smaller than the sum of its proper divisors (2717574048).

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

1122422112 is a wasteful number, since it uses less digits than its factorization.

1122422112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29345 (or 29334 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 1122422112 is about 33502.5687373371. The cubic root of 1122422112 is about 1039.2469005460.

Adding to 1122422112 its reverse (2112242211), we get a palindrome (3234664323).

It can be divided in two parts, 112242211 and 2, that multiplied together give a palindrome (224484422).

The spelling of 1122422112 in words is "one billion, one hundred twenty-two million, four hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3192 4256 4788 5472 6384 9576 12768 19152 29303 38304 58606 87909 117212 175818 205121 234424 263727 351636 410242 468848 527454 556757 615363 703272 820484 937696 1054908 1113514 1230726 1406544 1640968 1670271 1846089 2109816 2227028 2461452 2813088 3281936 3340542 3692178 3897299 4219632 4454056 4922904 5010813 6563872 6681084 7384356 7794598 8439264 8908112 9845808 10021626 11691897 13362168 14768712 15589196 17816224 19691616 20043252 23383794 26724336 29537424 31178392 35075691 40086504 46767588 53448672 59074848 62356784 70151382 80173008 93535176 124713568 140302764 160346016 187070352 280605528 374140704 561211056 1122422112