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20000440224 = 253269445973
BaseRepresentation
bin10010101000000111…
…100111111110100000
31220121212100122010100
4102220013213332200
5311430103041344
613104342502400
71305425636232
oct225007477640
956555318110
1020000440224
1185337aa846
123a62134a00
131b6980011b
14d7a39c252
157c0d06569
hex4a81e7fa0

20000440224 has 36 divisors (see below), whose sum is σ = 56876252706. Its totient is φ = 6666813312.

The previous prime is 20000440189. The next prime is 20000440247. The reversal of 20000440224 is 42204400002.

20000440224 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 0 + 440 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16986430224 + 3014010000 = 130332^2 + 54900^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 20000440197 and 20000440206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34722699 + ... + 34723274.

Almost surely, 220000440224 is an apocalyptic number.

20000440224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20000440224 is an abundant number, since it is smaller than the sum of its proper divisors (36875812482).

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

20000440224 is a wasteful number, since it uses less digits than its factorization.

20000440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69445989 (or 69445978 counting only the distinct ones).

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

Adding to 20000440224 its reverse (42204400002), we get a palindrome (62204840226).

The spelling of 20000440224 in words is "twenty billion, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 69445973 138891946 208337919 277783892 416675838 555567784 625013757 833351676 1111135568 1250027514 1666703352 2222271136 2500055028 3333406704 5000110056 6666813408 10000220112 20000440224