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1022243328 = 29341572
BaseRepresentation
bin111100111011100…
…011001000000000
32122020112100020000
4330323203020000
54043143241303
6245234120000
734221632151
oct7473431000
92566470200
101022243328
114850365a7
12246420000
13133a27712
1499a9b928
155eb26da3
hex3cee3200

1022243328 has 150 divisors (see below), whose sum is σ = 3070684881. Its totient is φ = 338577408.

The previous prime is 1022243267. The next prime is 1022243351. The reversal of 1022243328 is 8233422201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1022243328 is a `hidden beast` number, since 1 + 0 + 222 + 433 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 976437504 + 45805824 = 31248^2 + 6768^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=22608.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6511026 + ... + 6511182.

Almost surely, 21022243328 is an apocalyptic number.

1022243328 is a gapful number since it is divisible by the number (18) 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 1022243328

1022243328 is an abundant number, since it is smaller than the sum of its proper divisors (2048441553).

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

1022243328 is an frugal number, since it uses more digits than its factorization.

1022243328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1022243328 is about 31972.5402181309. The cubic root of 1022243328 is about 1007.3601381298.

Multiplying 1022243328 by its product of nonzero digits (4608), we get a square (4710497255424 = 21703682).

1022243328 divided by its product of nonzero digits (4608) gives a square (221841 = 4712).

Adding to 1022243328 its reverse (8233422201), we get a palindrome (9255665529).

The spelling of 1022243328 in words is "one billion, twenty-two million, two hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 157 162 192 216 256 288 314 324 384 432 471 512 576 628 648 768 864 942 1152 1256 1296 1413 1536 1728 1884 2304 2512 2592 2826 3456 3768 4239 4608 5024 5184 5652 6912 7536 8478 10048 10368 11304 12717 13824 15072 16956 20096 20736 22608 24649 25434 30144 33912 40192 41472 45216 49298 50868 60288 67824 73947 80384 90432 98596 101736 120576 135648 147894 180864 197192 203472 221841 241152 271296 295788 361728 394384 406944 443682 542592 591576 665523 723456 788768 813888 887364 1085184 1183152 1331046 1577536 1627776 1774728 1996569 2170368 2366304 2662092 3155072 3255552 3549456 3993138 4732608 5324184 6310144 6511104 7098912 7986276 9465216 10648368 12620288 14197824 15972552 18930432 21296736 28395648 31945104 37860864 42593472 56791296 63890208 85186944 113582592 127780416 170373888 255560832 340747776 511121664 1022243328