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1132221440 = 2105724513
BaseRepresentation
bin100001101111100…
…0101010000000000
32220220110210211102
41003133011100000
54304322041230
6304203233532
740025503100
oct10337052000
92826423742
101132221440
115311227a9
122772188a8
13150752b1c
14aa529200
15695ed045
hex437c5400

1132221440 has 132 divisors (see below), whose sum is σ = 3160134036. Its totient is φ = 388104192.

The previous prime is 1132221439. The next prime is 1132221479. The reversal of 1132221440 is 441222311.

It can be written as a sum of positive squares in 2 ways, for example, as 120472576 + 1011748864 = 10976^2 + 31808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248624 + ... + 253136.

Almost surely, 21132221440 is an apocalyptic number.

1132221440 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 1132221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580067018).

1132221440 is an abundant number, since it is smaller than the sum of its proper divisors (2027912596).

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

1132221440 is an equidigital number, since it uses as much as digits as its factorization.

1132221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1132221440 is about 33648.4983320207. The cubic root of 1132221440 is about 1042.2625298966.

Adding to 1132221440 its reverse (441222311), we get a palindrome (1573443751).

The spelling of 1132221440 in words is "one billion, one hundred thirty-two million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2240 2560 3136 3584 3920 4480 4513 5120 6272 7168 7840 8960 9026 12544 15680 17920 18052 22565 25088 31360 31591 35840 36104 45130 50176 62720 63182 72208 90260 125440 126364 144416 157955 180520 221137 250880 252728 288832 315910 361040 442274 505456 577664 631820 722080 884548 1010912 1105685 1155328 1263640 1444160 1769096 2021824 2211370 2310656 2527280 2888320 3538192 4043648 4422740 4621312 5054560 5776640 7076384 8087296 8845480 10109120 11553280 14152768 16174592 17690960 20218240 23106560 28305536 32349184 35381920 40436480 56611072 70763840 80872960 113222144 141527680 161745920 226444288 283055360 566110720 1132221440