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8235220 = 225759997
BaseRepresentation
bin11111011010100011010100
3120111101121011
4133122203110
54102011340
6452302004
7126666250
oct37324324
916441534
108235220
114715274
122911904
131924516
141145260
15aca0ea
hex7da8d4

8235220 has 48 divisors (see below), whose sum is σ = 20119680. Its totient is φ = 2772864.

The previous prime is 8235209. The next prime is 8235229. The reversal of 8235220 is 225328.

It is a junction number, because it is equal to n+sod(n) for n = 8235191 and 8235200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8235229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7762 + ... + 8758.

It is an arithmetic number, because the mean of its divisors is an integer number (419160).

Almost surely, 28235220 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 8235220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10059840).

8235220 is an abundant number, since it is smaller than the sum of its proper divisors (11884460).

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

8235220 is a wasteful number, since it uses less digits than its factorization.

8235220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 8235220 is about 2869.7073021477. The cubic root of 8235220 is about 201.9412631890.

The spelling of 8235220 in words is "eight million, two hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 997 1180 1652 1994 2065 3988 4130 4985 6979 8260 9970 13958 19940 27916 34895 58823 69790 117646 139580 235292 294115 411761 588230 823522 1176460 1647044 2058805 4117610 8235220