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1019403220 = 225112421241
BaseRepresentation
bin111100110000101…
…101101111010100
32122001012001022211
4330300231233110
54041431400340
6245053203204
734155533023
oct7460555724
92561161284
101019403220
11483476800
12245490504
13133271a94
149955c8ba
155e7655ea
hex3cc2dbd4

1019403220 has 36 divisors (see below), whose sum is σ = 2353057812. Its totient is φ = 370691200.

The previous prime is 1019403109. The next prime is 1019403223. The reversal of 1019403220 is 223049101.

It can be written as a sum of positive squares in 2 ways, for example, as 583512336 + 435890884 = 24156^2 + 20878^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1019403191 and 1019403200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019403223) 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 11 ways as a sum of consecutive naturals, for example, 208201 + ... + 213040.

It is an arithmetic number, because the mean of its divisors is an integer number (65362717).

Almost surely, 21019403220 is an apocalyptic number.

1019403220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1019403220 is an abundant number, since it is smaller than the sum of its proper divisors (1333654592).

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

1019403220 is a wasteful number, since it uses less digits than its factorization.

1019403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421272 (or 421259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1019403220 is about 31928.0945250417. The cubic root of 1019403220 is about 1006.4263535153.

The spelling of 1019403220 in words is "one billion, nineteen million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 421241 842482 1684964 2106205 4212410 4633651 8424820 9267302 18534604 23168255 46336510 50970161 92673020 101940322 203880644 254850805 509701610 1019403220