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1020220200 = 23325219231297
BaseRepresentation
bin111100110011110…
…101001100101000
32122002201120000100
4330303311030220
54042134021300
6245122505400
734165504626
oct7463651450
92562646010
101020220200
1148398459a
12245805260
131334998bc
14996d2516
155e877700
hex3ccf5328

1020220200 has 288 divisors, whose sum is σ = 3766276800. Its totient is φ = 246343680.

The previous prime is 1020220171. The next prime is 1020220207. The reversal of 1020220200 is 20220201.

1020220200 = 1562 + 1572 + ... + 14522.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1020220207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 785952 + ... + 787248.

It is an arithmetic number, because the mean of its divisors is an integer number (13077350).

Almost surely, 21020220200 is an apocalyptic number.

1020220200 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 1020220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883138400).

1020220200 is an abundant number, since it is smaller than the sum of its proper divisors (2746056600).

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

1020220200 is a wasteful number, since it uses less digits than its factorization.

1020220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1020220200 is about 31940.8860240288. The cubic root of 1020220200 is about 1006.6951417078.

Adding to 1020220200 its reverse (20220201), we get a palindrome (1040440401).

Subtracting from 1020220200 its reverse (20220201), we obtain a palindrome (999999999).

The spelling of 1020220200 in words is "one billion, twenty million, two hundred twenty thousand, two hundred".