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1005210220 = 22577990887
BaseRepresentation
bin111011111010100…
…100101001101100
32121001110222012011
4323322210221230
54024313211340
6243425051004
733624101020
oct7372445154
92531428164
101005210220
11476462353
12240786a64
13130342861
1497706380
155d3b00ea
hex3bea4a6c

1005210220 has 48 divisors (see below), whose sum is σ = 2443069440. Its totient is φ = 340277184.

The previous prime is 1005210211. The next prime is 1005210223. The reversal of 1005210220 is 220125001.

It is a self number, because there is not a number n which added to its sum of digits gives 1005210220.

It is not an unprimeable number, because it can be changed into a prime (1005210223) by changing a digit.

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, 34384 + ... + 56503.

It is an arithmetic number, because the mean of its divisors is an integer number (50897280).

Almost surely, 21005210220 is an apocalyptic number.

1005210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005210220 is an abundant number, since it is smaller than the sum of its proper divisors (1437859220).

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

1005210220 is a wasteful number, since it uses less digits than its factorization.

1005210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90982 (or 90980 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 1005210220 is about 31705.0503863344. The cubic root of 1005210220 is about 1001.7337324347.

Adding to 1005210220 its reverse (220125001), we get a palindrome (1225335221).

The spelling of 1005210220 in words is "one billion, five million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2765 5530 11060 90887 181774 363548 454435 636209 908870 1272418 1817740 2544836 3181045 6362090 7180073 12724180 14360146 28720292 35900365 50260511 71800730 100521022 143601460 201042044 251302555 502605110 1005210220