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1029222820 = 225347148303
BaseRepresentation
bin111101010110001…
…011000110100100
32122201122221021201
4331112023012210
54101440112240
6250043452244
734335151423
oct7526130644
92581587251
101029222820
11488a7337a
12248827084
131352cc4b2
149a9972ba
1560554d9a
hex3d58b1a4

1029222820 has 24 divisors (see below), whose sum is σ = 2167611264. Its totient is φ = 410499936.

The previous prime is 1029222809. The next prime is 1029222829. The reversal of 1029222820 is 282229201.

1029222820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10292228202 = 2118599226417504800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1029222829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67212 + ... + 81091.

It is an arithmetic number, because the mean of its divisors is an integer number (90317136).

Almost surely, 21029222820 is an apocalyptic number.

1029222820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1029222820 is an abundant number, since it is smaller than the sum of its proper divisors (1138388444).

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

1029222820 is a wasteful number, since it uses less digits than its factorization.

1029222820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148659 (or 148657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1029222820 is about 32081.5027702881. The cubic root of 1029222820 is about 1009.6475651689.

The spelling of 1029222820 in words is "one billion, twenty-nine million, two hundred twenty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 347 694 1388 1735 3470 6940 148303 296606 593212 741515 1483030 2966060 51461141 102922282 205844564 257305705 514611410 1029222820