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1023312220 = 22577309373
BaseRepresentation
bin111100111111101…
…000000101011100
32122022112122110121
4330333220011130
54043431442340
6245313044324
734234003360
oct7477500534
92568478417
101023312220
114856a6687
122468566a4
131340100b8
1499c992a0
155ec8894a
hex3cfe815c

1023312220 has 24 divisors (see below), whose sum is σ = 2455949664. Its totient is φ = 350849856.

The previous prime is 1023312211. The next prime is 1023312221. The reversal of 1023312220 is 222133201.

It is a junction number, because it is equal to n+sod(n) for n = 1023312194 and 1023312203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023312221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3654547 + ... + 3654826.

It is an arithmetic number, because the mean of its divisors is an integer number (102331236).

Almost surely, 21023312220 is an apocalyptic number.

1023312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023312220 is an abundant number, since it is smaller than the sum of its proper divisors (1432637444).

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

1023312220 is a wasteful number, since it uses less digits than its factorization.

1023312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7309389 (or 7309387 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1023312220 is about 31989.2516323843. The cubic root of 1023312220 is about 1007.7111257021.

Adding to 1023312220 its reverse (222133201), we get a palindrome (1245445421).

The spelling of 1023312220 in words is "one billion, twenty-three million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 7309373 14618746 29237492 36546865 51165611 73093730 102331222 146187460 204662444 255828055 511656110 1023312220