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1022010220 = 225711739091
BaseRepresentation
bin111100111010101…
…010001101101100
32122020002111110101
4330322222031230
54043113311340
6245225120444
734216641430
oct7472521554
92566074411
101022010220
11484997450
12246329124
1313397559a
1499a3a9c0
155eaccc9a
hex3ceaa36c

1022010220 has 96 divisors (see below), whose sum is σ = 2712761856. Its totient is φ = 314150400.

The previous prime is 1022010211. The next prime is 1022010259. The reversal of 1022010220 is 220102201.

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 = 1022010197 and 1022010206.

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 31 ways as a sum of consecutive naturals, for example, 107875 + ... + 116965.

It is an arithmetic number, because the mean of its divisors is an integer number (28257936).

Almost surely, 21022010220 is an apocalyptic number.

1022010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356380928).

1022010220 is an abundant number, since it is smaller than the sum of its proper divisors (1690751636).

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

1022010220 is a wasteful number, since it uses less digits than its factorization.

1022010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9191 (or 9189 counting only the distinct ones).

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

The square root of 1022010220 is about 31968.8945695656. The cubic root of 1022010220 is about 1007.2835609417.

Adding to 1022010220 its reverse (220102201), we get a palindrome (1242112421).

The spelling of 1022010220 in words is "one billion, twenty-two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 9091 10220 11242 16060 18182 22484 28105 36364 45455 56210 63637 90910 100001 112420 127274 181820 200002 254548 318185 400004 500005 636370 663643 700007 1000010 1272740 1327286 1400014 2000020 2654572 2800028 3318215 3500035 4645501 6636430 7000070 7300073 9291002 13272860 14000140 14600146 18582004 23227505 29200292 36500365 46455010 51100511 73000730 92910020 102201022 146001460 204402044 255502555 511005110 1022010220