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1022210020 = 225132302429
BaseRepresentation
bin111100111011011…
…010111111100100
32122020110122112101
4330323122333210
54043141210040
6245233301444
734221433066
oct7473327744
92566418471
101022210020
11485013577
12246404884
13133a15500
1499a8d736
155eb1c09a
hex3cedafe4

1022210020 has 36 divisors (see below), whose sum is σ = 2324476980. Its totient is φ = 377430144.

The previous prime is 1022209997. The next prime is 1022210029. The reversal of 1022210020 is 200122201.

It can be written as a sum of positive squares in 6 ways, for example, as 142850304 + 879359716 = 11952^2 + 29654^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1022209979 and 1022210006.

It is not an unprimeable number, because it can be changed into a prime (1022210029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147835 + ... + 154594.

It is an arithmetic number, because the mean of its divisors is an integer number (64568805).

Almost surely, 21022210020 is an apocalyptic number.

1022210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022210020 is an abundant number, since it is smaller than the sum of its proper divisors (1302266960).

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

1022210020 is a wasteful number, since it uses less digits than its factorization.

1022210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302464 (or 302449 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1022210020 is about 31972.0193294074. The cubic root of 1022210020 is about 1007.3491969918.

Adding to 1022210020 its reverse (200122201), we get a palindrome (1222332221).

It can be divided in two parts, 102 and 2210020, that added together give a palindrome (2210122).

The spelling of 1022210020 in words is "one billion, twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 302429 604858 1209716 1512145 3024290 3931577 6048580 7863154 15726308 19657885 39315770 51110501 78631540 102221002 204442004 255552505 511105010 1022210020