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200000000020 = 225101354127961
BaseRepresentation
bin1011101001000011101…
…1011101000000010100
3201010020100021200112011
42322100323131000110
511234100000000040
6231513450034004
720310120644032
oct2722073350024
9633210250464
10200000000020
1177901871217
1232917718904
1315b2431c1a2
1499740c1552
1553084743ea
hex2e90edd014

200000000020 has 48 divisors (see below), whose sum is σ = 424293374736. Its totient is φ = 79182720000.

The previous prime is 199999999949. The next prime is 200000000041. The reversal of 200000000020 is 20000000002.

It can be written as a sum of positive squares in 8 ways, for example, as 330439684 + 199669560336 = 18178^2 + 446844^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 199999999928 and 200000000009.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7138840 + ... + 7166800.

It is an arithmetic number, because the mean of its divisors is an integer number (8839445307).

Almost surely, 2200000000020 is an apocalyptic number.

200000000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200000000020 is an abundant number, since it is smaller than the sum of its proper divisors (224293374716).

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

200000000020 is a wasteful number, since it uses less digits than its factorization.

200000000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31612 (or 31610 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 4.

Adding to 200000000020 its reverse (20000000002), we get a palindrome (220000000022).

It can be divided in two parts, 2000000000 and 20, that multiplied together give a square (40000000000 = 2000002).

The spelling of 200000000020 in words is "two hundred billion, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 3541 7082 14164 17705 27961 35410 55922 70820 111844 139805 279610 357641 559220 715282 1430564 1788205 2824061 3576410 5648122 7152820 11296244 14120305 28240610 56481220 99009901 198019802 396039604 495049505 990099010 1980198020 10000000001 20000000002 40000000004 50000000005 100000000010 200000000020