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2223920 = 24527799
BaseRepresentation
bin1000011110111100110000
311011222122102
420132330300
51032131140
6115355532
724621506
oct10367460
94158572
102223920
111289956
128b2ba8
135cb33a
1441c676
152dde15
hex21ef30

2223920 has 20 divisors (see below), whose sum is σ = 5170800. Its totient is φ = 889536.

The previous prime is 2223911. The next prime is 2223937. The reversal of 2223920 is 293222.

2223920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

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 = 2223892 and 2223901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13820 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (258540).

22223920 is an apocalyptic number.

2223920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2223920 is an abundant number, since it is smaller than the sum of its proper divisors (2946880).

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

2223920 is a wasteful number, since it uses less digits than its factorization.

2223920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27812 (or 27806 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2223920 is about 1491.2813282543. The cubic root of 2223920 is about 130.5288124557.

The spelling of 2223920 in words is "two million, two hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 27799 55598 111196 138995 222392 277990 444784 555980 1111960 2223920