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2235920 = 245191471
BaseRepresentation
bin1000100001111000010000
311012121002212
420201320100
51033022140
6115531252
725001501
oct10417020
94177085
102235920
111297975
128b9b28
1360393b
14422ba8
152e2765
hex221e10

2235920 has 40 divisors (see below), whose sum is σ = 5475840. Its totient is φ = 846720.

The previous prime is 2235907. The next prime is 2235941. The reversal of 2235920 is 295322.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 785 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (136896).

22235920 is an apocalyptic number.

2235920 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 2235920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737920).

2235920 is an abundant number, since it is smaller than the sum of its proper divisors (3239920).

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

2235920 is a wasteful number, since it uses less digits than its factorization.

2235920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 2235920 is about 1495.2993011434. The cubic root of 2235920 is about 130.7631639453.

The spelling of 2235920 in words is "two million, two hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1471 1520 2942 5884 7355 11768 14710 23536 27949 29420 55898 58840 111796 117680 139745 223592 279490 447184 558980 1117960 2235920