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10228420 = 2251373733
BaseRepresentation
bin100111000001…
…001011000100
3201020122202101
4213001023010
510104302140
61003121444
7152640316
oct47011304
921218671
1010228420
115856844
123513284
132171827
1415037b6
15d7099a
hex9c12c4

10228420 has 24 divisors (see below), whose sum is σ = 21642264. Its totient is φ = 4060416.

The previous prime is 10228411. The next prime is 10228429. The reversal of 10228420 is 2482201.

It is an interprime number because it is at equal distance from previous prime (10228411) and next prime (10228429).

It can be written as a sum of positive squares in 4 ways, for example, as 1478656 + 8749764 = 1216^2 + 2958^2 .

It is not an unprimeable number, because it can be changed into a prime (10228429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874 + ... + 4606.

It is an arithmetic number, because the mean of its divisors is an integer number (901761).

Almost surely, 210228420 is an apocalyptic number.

10228420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10228420 is an abundant number, since it is smaller than the sum of its proper divisors (11413844).

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

10228420 is a wasteful number, since it uses less digits than its factorization.

10228420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 10228420 is about 3198.1901131734. The cubic root of 10228420 is about 217.0715217958.

It can be divided in two parts, 10228 and 420, that added together give a cube (10648 = 223).

The spelling of 10228420 in words is "ten million, two hundred twenty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 3733 7466 14932 18665 37330 74660 511421 1022842 2045684 2557105 5114210 10228420