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20220332100 = 223521753239313
BaseRepresentation
bin10010110101001110…
…011100100001000100
31221012012010022001220
4102311032130201010
5312402401111400
613142235520340
71314035662353
oct226516344104
957165108056
1020220332100
118636939871
123b038b90b0
131ba3230567
14d9b67b99a
157d528e7a0
hex4b539c844

20220332100 has 288 divisors, whose sum is σ = 63580930560. Its totient is φ = 4942479360.

The previous prime is 20220332089. The next prime is 20220332101. The reversal of 20220332100 is 123302202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220332100.

It is not an unprimeable number, because it can be changed into a prime (20220332101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64601544 + ... + 64601856.

It is an arithmetic number, because the mean of its divisors is an integer number (220767120).

Almost surely, 220220332100 is an apocalyptic number.

20220332100 is a gapful number since it is divisible by the number (20) 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 20220332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31790465280).

20220332100 is an abundant number, since it is smaller than the sum of its proper divisors (43360598460).

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

20220332100 is a wasteful number, since it uses less digits than its factorization.

20220332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20220332100 its reverse (123302202), we get a palindrome (20343634302).

The spelling of 20220332100 in words is "twenty billion, two hundred twenty million, three hundred thirty-two thousand, one hundred".