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7420525220 = 2252941973217
BaseRepresentation
bin1101110100100110…
…00011101010100100
3201011011000201221102
412322103003222210
5110144123301340
63224155335232
7351613265213
oct67223035244
921134021842
107420525220
113168769479
121531151518
13913482a34
1450574507a
152d66d4215
hex1ba4c3aa4

7420525220 has 96 divisors (see below), whose sum is σ = 16689062880. Its totient is φ = 2766274560.

The previous prime is 7420525219. The next prime is 7420525243. The reversal of 7420525220 is 225250247.

It can be written as a sum of positive squares in 16 ways, for example, as 1868487076 + 5552038144 = 43226^2 + 74512^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2305052 + ... + 2308268.

It is an arithmetic number, because the mean of its divisors is an integer number (173844405).

Almost surely, 27420525220 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 7420525220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344531440).

7420525220 is an abundant number, since it is smaller than the sum of its proper divisors (9268537660).

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

7420525220 is a wasteful number, since it uses less digits than its factorization.

7420525220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 29.

The square root of 7420525220 is about 86142.4704776918. The cubic root of 7420525220 is about 1950.4951817164.

Adding to 7420525220 its reverse (225250247), we get a palindrome (7645775467).

The spelling of 7420525220 in words is "seven billion, four hundred twenty million, five hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 41 58 82 97 116 145 164 194 205 290 388 410 485 580 820 970 1189 1940 2378 2813 3217 3977 4756 5626 5945 6434 7954 11252 11890 12868 14065 15908 16085 19885 23780 28130 32170 39770 56260 64340 79540 93293 115333 131897 186586 230666 263794 312049 373172 461332 466465 527588 576665 624098 659485 932930 1153330 1248196 1318970 1560245 1865860 2306660 2637940 3120490 3825013 6240980 7650026 9049421 12794009 15300052 18098842 19125065 25588018 36197684 38250130 45247105 51176036 63970045 76500260 90494210 127940090 180988420 255880180 371026261 742052522 1484105044 1855131305 3710262610 7420525220