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8220000228 = 22311431448203
BaseRepresentation
bin1111010011111001…
…10011111111100100
3210012212101021110220
413221330303333210
5113313310001403
63435355044340
7410461564146
oct75174637744
923185337426
108220000228
113538a80920
121714a406b0
13a0ccb097b
1457d9b4c96
153319a5953
hex1e9f33fe4

8220000228 has 48 divisors (see below), whose sum is σ = 21410247936. Its totient is φ = 2432979360.

The previous prime is 8220000227. The next prime is 8220000289.

8220000228 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8220000198 and 8220000207.

It is not an unprimeable number, because it can be changed into a prime (8220000227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718426 + ... + 729777.

It is an arithmetic number, because the mean of its divisors is an integer number (446046832).

Almost surely, 28220000228 is an apocalyptic number.

It is an amenable number.

8220000228 is an abundant number, since it is smaller than the sum of its proper divisors (13190247708).

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

8220000228 is a wasteful number, since it uses less digits than its factorization.

8220000228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448264 (or 1448262 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8220000228 is about 90664.2169105320. The cubic root of 8220000228 is about 2018.1678178110.

It can be divided in two parts, 8220000 and 228, that added together give a palindrome (8220228).

The spelling of 8220000228 in words is "eight billion, two hundred twenty million, two hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 1448203 2896406 4344609 5792812 8689218 15930233 17378436 31860466 47790699 62272729 63720932 95581398 124545458 186818187 191162796 249090916 373636374 685000019 747272748 1370000038 2055000057 2740000076 4110000114 8220000228