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1322000000 = 2756661
BaseRepresentation
bin100111011001100…
…0001111010000000
310102010120120001222
41032303001322000
510201413000000
6335103014212
744521546256
oct11663017200
93363516058
101322000000
11619264192
1230a89a368
13180b6b829
14c780a5d6
157b0d8a85
hex4ecc1e80

1322000000 has 112 divisors (see below), whose sum is σ = 3297028110. Its totient is φ = 528000000.

The previous prime is 1321999979. The next prime is 1322000011. The reversal of 1322000000 is 2231.

It can be written as a sum of positive squares in 7 ways, for example, as 498539584 + 823460416 = 22328^2 + 28696^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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 13 ways as a sum of consecutive naturals, for example, 1999670 + ... + 2000330.

Almost surely, 21322000000 is an apocalyptic number.

1322000000 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 1322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648514055).

1322000000 is an abundant number, since it is smaller than the sum of its proper divisors (1975028110).

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

1322000000 is an frugal number, since it uses more digits than its factorization.

1322000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 1322000000 is about 36359.3179253957. The cubic root of 1322000000 is about 1097.5150517772.

Adding to 1322000000 its reverse (2231), we get a palindrome (1322002231).

The spelling of 1322000000 in words is "one billion, three hundred twenty-two million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 661 800 1000 1250 1322 1600 2000 2500 2644 3125 3200 3305 4000 5000 5288 6250 6610 8000 10000 10576 12500 13220 15625 16000 16525 20000 21152 25000 26440 31250 33050 40000 42304 50000 52880 62500 66100 80000 82625 84608 100000 105760 125000 132200 165250 200000 211520 250000 264400 330500 400000 413125 423040 500000 528800 661000 826250 1000000 1057600 1322000 1652500 2000000 2065625 2115200 2644000 3305000 4131250 5288000 6610000 8262500 10328125 10576000 13220000 16525000 20656250 26440000 33050000 41312500 52880000 66100000 82625000 132200000 165250000 264400000 330500000 661000000 1322000000