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2020147200 = 2163252137
BaseRepresentation
bin111100001101001…
…0000000000000000
312012210021002222200
41320122100000000
513114124202300
6532242433200
7101026652661
oct17032200000
95183232880
102020147200
11947358545
12484662800
132626ac796
14152421368
15bc542200
hex78690000

2020147200 has 306 divisors, whose sum is σ = 7289382594. Its totient is φ = 534773760.

The previous prime is 2020147189. The next prime is 2020147223. The reversal of 2020147200 is 27410202.

It can be written as a sum of positive squares in 3 ways, for example, as 170459136 + 1849688064 = 13056^2 + 43008^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14745532 + ... + 14745668.

Almost surely, 22020147200 is an apocalyptic number.

2020147200 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 2020147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644691297).

2020147200 is an abundant number, since it is smaller than the sum of its proper divisors (5269235394).

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

2020147200 is an equidigital number, since it uses as much as digits as its factorization.

2020147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2020147200 is about 44946.0476571634. The cubic root of 2020147200 is about 1264.1375698155.

Adding to 2020147200 its reverse (27410202), we get a palindrome (2047557402).

The spelling of 2020147200 in words is "two billion, twenty million, one hundred forty-seven thousand, two hundred".