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20044024200 = 233252472712
BaseRepresentation
bin10010101010101101…
…111000100110001000
31220201220100221002200
4102222231320212020
5312022232233300
613112541000200
71306465252224
oct225255704610
956656327080
1020044024200
118556369062
123a74853060
131b75850065
14d820a5784
157c4a65200
hex4aab78988

20044024200 has 324 divisors, whose sum is σ = 69759547845. Its totient is φ = 5157667200.

The previous prime is 20044024181. The next prime is 20044024213. The reversal of 20044024200 is 242044002.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

20044024200 is a `hidden beast` number, since 2 + 0 + 0 + 440 + 24 + 200 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19643143716 + 400880484 = 140154^2 + 20022^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100110.

It is a super-2 number, since 2×200440242002 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 282310165 + ... + 282310235.

Almost surely, 220044024200 is an apocalyptic number.

20044024200 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 20044024200

20044024200 is an abundant number, since it is smaller than the sum of its proper divisors (49715523645).

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

20044024200 is a wasteful number, since it uses less digits than its factorization.

20044024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Multiplying 20044024200 by its sum of digits (18), we get a square (360792435600 = 6006602).

20044024200 divided by its sum of digits (18) gives a square (1113556900 = 333702).

Multiplying 20044024200 by its product of nonzero digits (512), we get a square (10262540390400 = 32035202).

Adding to 20044024200 its reverse (242044002), we get a palindrome (20286068202).

It can be divided in two parts, 2004 and 4024200, that added together give a palindrome (4026204).

The spelling of 20044024200 in words is "twenty billion, forty-four million, twenty-four thousand, two hundred".