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1056220000 = 2554114801
BaseRepresentation
bin111110111101001…
…010001101100000
32201121110112110021
4332331022031200
54130343020000
6252450243224
735113502413
oct7675121540
92647415407
101056220000
114a22327a0
12255886514
1313aa92764
14a03c3b7a
1562ad911a
hex3ef4a360

1056220000 has 120 divisors (see below), whose sum is σ = 2835273672. Its totient is φ = 384000000.

The previous prime is 1056219977. The next prime is 1056220001. The reversal of 1056220000 is 226501.

It is a happy number.

It is a super-2 number, since 2×10562200002 = 2231201376800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056220001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 217600 + ... + 222400.

Almost surely, 21056220000 is an apocalyptic number.

1056220000 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 1056220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417636836).

1056220000 is an abundant number, since it is smaller than the sum of its proper divisors (1779053672).

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

1056220000 is an equidigital number, since it uses as much as digits as its factorization.

1056220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1056220000 is about 32499.5384582612. The cubic root of 1056220000 is about 1018.3993862906.

Adding to 1056220000 its reverse (226501), we get a palindrome (1056446501).

The spelling of 1056220000 in words is "one billion, fifty-six million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 4801 5000 5500 6875 8800 9602 10000 11000 13750 19204 20000 22000 24005 27500 38408 44000 48010 52811 55000 76816 96020 105622 110000 120025 153632 192040 211244 220000 240050 264055 384080 422488 480100 528110 600125 768160 844976 960200 1056220 1200250 1320275 1689952 1920400 2112440 2400500 2640550 3000625 3840800 4224880 4801000 5281100 6001250 6601375 8449760 9602000 10562200 12002500 13202750 19204000 21124400 24005000 26405500 33006875 42248800 48010000 52811000 66013750 96020000 105622000 132027500 211244000 264055000 528110000 1056220000