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8103200220 = 22325419107441
BaseRepresentation
bin1111000101111110…
…10000010111011100
3202220201121012222200
413202333100113130
5113043404401340
63420023411500
7404543031303
oct74277202734
922821535880
108103200220
113489055295
1216a18b3b90
139c1a3743b
1456c28d43a
153265d3330
hex1e2fd05dc

8103200220 has 72 divisors (see below), whose sum is σ = 24638599440. Its totient is φ = 2155676160.

The previous prime is 8103200191. The next prime is 8103200227. The reversal of 8103200220 is 220023018.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 8103200193 and 8103200202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8103200227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21700 + ... + 129140.

It is an arithmetic number, because the mean of its divisors is an integer number (342202770).

Almost surely, 28103200220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8103200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319299720).

8103200220 is an abundant number, since it is smaller than the sum of its proper divisors (16535399220).

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

8103200220 is a wasteful number, since it uses less digits than its factorization.

8103200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107875 (or 107870 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 8103200220 is about 90017.7772442755. Note that the first 3 decimals coincide. The cubic root of 8103200220 is about 2008.5633009428.

Adding to 8103200220 its reverse (220023018), we get a palindrome (8323223238).

The spelling of 8103200220 in words is "eight billion, one hundred three million, two hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 419 838 1257 1676 2095 2514 3771 4190 5028 6285 7542 8380 12570 15084 18855 25140 37710 75420 107441 214882 322323 429764 537205 644646 966969 1074410 1289292 1611615 1933938 2148820 3223230 3867876 4834845 6446460 9669690 19339380 45017779 90035558 135053337 180071116 225088895 270106674 405160011 450177790 540213348 675266685 810320022 900355580 1350533370 1620640044 2025800055 2701066740 4051600110 8103200220