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42225320 = 2352115003
BaseRepresentation
bin1010000100010…
…0111010101000
32221110021020202
42201010322220
541302202240
64105011332
71021623614
oct241047250
987407222
1042225320
1121920565
1212183b48
1389956c7
145872344
153a91315
hex2844ea8

42225320 has 32 divisors (see below), whose sum is σ = 95476320. Its totient is φ = 16806720.

The previous prime is 42225319. The next prime is 42225329. The reversal of 42225320 is 2352224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42225292 and 42225301.

It is not an unprimeable number, because it can be changed into a prime (42225329) 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, 5939 + ... + 10941.

It is an arithmetic number, because the mean of its divisors is an integer number (2983635).

Almost surely, 242225320 is an apocalyptic number.

42225320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42225320 is an abundant number, since it is smaller than the sum of its proper divisors (53251000).

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

42225320 is a wasteful number, since it uses less digits than its factorization.

42225320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42225320 is about 6498.1012611377. The cubic root of 42225320 is about 348.2231580520.

Adding to 42225320 its reverse (2352224), we get a palindrome (44577544).

The spelling of 42225320 in words is "forty-two million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 211 422 844 1055 1688 2110 4220 5003 8440 10006 20012 25015 40024 50030 100060 200120 1055633 2111266 4222532 5278165 8445064 10556330 21112660 42225320