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2022880 = 25547269
BaseRepresentation
bin111101101110111100000
310210202212111
413231313200
51004213010
6111205104
723123416
oct7556740
93722774
102022880
111161902
12816794
1355a992
143a92b6
1529e58a
hex1edde0

2022880 has 48 divisors (see below), whose sum is σ = 4898880. Its totient is φ = 788992.

The previous prime is 2022877. The next prime is 2022883. The reversal of 2022880 is 882202.

It is an interprime number because it is at equal distance from previous prime (2022877) and next prime (2022883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7386 + ... + 7654.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

22022880 is an apocalyptic number.

2022880 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 2022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440).

2022880 is an abundant number, since it is smaller than the sum of its proper divisors (2876000).

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

2022880 is a wasteful number, since it uses less digits than its factorization.

2022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2022880 is about 1422.2798599432. The cubic root of 2022880 is about 126.4707343236.

The spelling of 2022880 in words is "two million, twenty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 269 376 470 538 752 940 1076 1345 1504 1880 2152 2690 3760 4304 5380 7520 8608 10760 12643 21520 25286 43040 50572 63215 101144 126430 202288 252860 404576 505720 1011440 2022880