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22575420 = 223257192341
BaseRepresentation
bin101011000011…
…1100100111100
31120110221122200
41112013210330
521234403140
62123511500
7362613360
oct126074474
946427580
1022575420
111181a27a
127688590
1348a574a
142dd92a0
151eae030
hex158793c

22575420 has 288 divisors, whose sum is σ = 88058880. Its totient is φ = 4561920.

The previous prime is 22575367. The next prime is 22575431. The reversal of 22575420 is 2457522.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 550600 + ... + 550640.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 222575420 is an apocalyptic number.

22575420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22575420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

22575420 is an abundant number, since it is smaller than the sum of its proper divisors (65483460).

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

22575420 is a wasteful number, since it uses less digits than its factorization.

22575420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 22575420 is about 4751.3598053610. The cubic root of 22575420 is about 282.6258921497.

The spelling of 22575420 in words is "twenty-two million, five hundred seventy-five thousand, four hundred twenty".