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1200220020 = 223256667889
BaseRepresentation
bin100011110001001…
…1110011101110100
310002122102111100100
41013202132131310
54424224020040
6315032514100
741512462506
oct10742363564
93078374310
101200220020
1156654707a
12295b4b930
1316187067c
14b5589d76
1570580b30
hex4789e774

1200220020 has 36 divisors (see below), whose sum is σ = 3640667940. Its totient is φ = 320058624.

The previous prime is 1200220001. The next prime is 1200220031. The reversal of 1200220020 is 200220021.

It can be written as a sum of positive squares in 2 ways, for example, as 848207376 + 352012644 = 29124^2 + 18762^2 .

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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200219984 and 1200220011.

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 11 ways as a sum of consecutive naturals, for example, 3333765 + ... + 3334124.

It is an arithmetic number, because the mean of its divisors is an integer number (101129665).

Almost surely, 21200220020 is an apocalyptic number.

1200220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200220020 is an abundant number, since it is smaller than the sum of its proper divisors (2440447920).

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

1200220020 is a wasteful number, since it uses less digits than its factorization.

1200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667904 (or 6667899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1200220020 is about 34644.1917209797. The cubic root of 1200220020 is about 1062.7235113633.

Adding to 1200220020 its reverse (200220021), we get a palindrome (1400440041).

Subtracting from 1200220020 its reverse (200220021), we obtain a palindrome (999999999).

The spelling of 1200220020 in words is "one billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 6667889 13335778 20003667 26671556 33339445 40007334 60011001 66678890 80014668 100018335 120022002 133357780 200036670 240044004 300055005 400073340 600110010 1200220020