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200402224020 = 223251113345689
BaseRepresentation
bin1011101010100011100…
…1110100001110010100
3201011021101010210010100
42322220321310032110
511240410432132040
6232021415054100
720323103540535
oct2725071641624
9634241123110
10200402224020
1177a98916049
1232a0a371330
1315b8975bb5b
1499b16a468c
15532d926b30
hex2ea8e74394

200402224020 has 36 divisors (see below), whose sum is σ = 607886746740. Its totient is φ = 53440593024.

The previous prime is 200402224007. The next prime is 200402224049. The reversal of 200402224020 is 20422204002.

200402224020 is a `hidden beast` number, since 2 + 0 + 0 + 40 + 222 + 402 + 0 = 666.

200402224020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56413850256 + 143988373764 = 237516^2 + 379458^2 .

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

It is a super-2 number, since 2×2004022240202 (a number of 23 digits) contains 22 as substring.

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 = 200402223984 and 200402224002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556672665 + ... + 556673024.

It is an arithmetic number, because the mean of its divisors is an integer number (16885742965).

Almost surely, 2200402224020 is an apocalyptic number.

200402224020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200402224020 is an abundant number, since it is smaller than the sum of its proper divisors (407484522720).

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

200402224020 is a wasteful number, since it uses less digits than its factorization.

200402224020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113345704 (or 1113345699 counting only the distinct ones).

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

Adding to 200402224020 its reverse (20422204002), we get a palindrome (220824428022).

The spelling of 200402224020 in words is "two hundred billion, four hundred two million, two hundred twenty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1113345689 2226691378 3340037067 4453382756 5566728445 6680074134 10020111201 11133456890 13360148268 16700185335 20040222402 22266913780 33400370670 40080444804 50100556005 66800741340 100201112010 200402224020