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1022020020 = 223257811127
BaseRepresentation
bin111100111010101…
…100100110110100
32122020002222220100
4330322230212310
54043114120040
6245225234100
734220012130
oct7472544664
92566088810
101022020020
114849a384a
12246332930
13133979b98
1499a403c0
155ead0b30
hex3ceac9b4

1022020020 has 72 divisors (see below), whose sum is σ = 3543007104. Its totient is φ = 233604288.

The previous prime is 1022020009. The next prime is 1022020037. The reversal of 1022020020 is 200202201.

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 = 1022019984 and 1022020011.

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 23 ways as a sum of consecutive naturals, for example, 404304 + ... + 406823.

It is an arithmetic number, because the mean of its divisors is an integer number (49208432).

Almost surely, 21022020020 is an apocalyptic number.

1022020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022020020 is an abundant number, since it is smaller than the sum of its proper divisors (2520987084).

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

1022020020 is a wasteful number, since it uses less digits than its factorization.

1022020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811149 (or 811144 counting only the distinct ones).

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

The square root of 1022020020 is about 31969.0478431873. The cubic root of 1022020020 is about 1007.2867805271.

Adding to 1022020020 its reverse (200202201), we get a palindrome (1222222221).

The spelling of 1022020020 in words is "one billion, twenty-two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 811127 1622254 2433381 3244508 4055635 4866762 5677889 7300143 8111270 9733524 11355778 12166905 14600286 16222540 17033667 22711556 24333810 28389445 29200572 34067334 36500715 48667620 51101001 56778890 68134668 73001430 85168335 102202002 113557780 146002860 170336670 204404004 255505005 340673340 511010010 1022020020