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1020020220 = 2232519129669
BaseRepresentation
bin111100110011000…
…100010111111100
32122002100101200200
4330303010113330
54042111121340
6245114323500
734164012612
oct7463042774
92562311620
101020020220
1148385831a
12245729590
1313342987b
149967d6b2
155e838330
hex3ccc45fc

1020020220 has 72 divisors (see below), whose sum is σ = 3110365440. Its totient is φ = 270572160.

The previous prime is 1020020201. The next prime is 1020020231. The reversal of 1020020220 is 220200201.

1020020220 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10200202203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 19546 + ... + 49214.

It is an arithmetic number, because the mean of its divisors is an integer number (43199520).

Almost surely, 21020020220 is an apocalyptic number.

1020020220 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 1020020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555182720).

1020020220 is an abundant number, since it is smaller than the sum of its proper divisors (2090345220).

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

1020020220 is a wasteful number, since it uses less digits than its factorization.

1020020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29875 (or 29870 counting only the distinct ones).

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

The square root of 1020020220 is about 31937.7554001530. The cubic root of 1020020220 is about 1006.6293611211.

Adding to 1020020220 its reverse (220200201), we get a palindrome (1240220421).

The spelling of 1020020220 in words is "one billion, twenty million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 29669 34380 59338 89007 118676 148345 178014 267021 296690 356028 445035 534042 593380 890070 1068084 1335105 1780140 2670210 5340420 5666779 11333558 17000337 22667116 28333895 34000674 51001011 56667790 68001348 85001685 102002022 113335580 170003370 204004044 255005055 340006740 510010110 1020020220