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20221120 = 265292179
BaseRepresentation
bin100110100100…
…0110011000000
31102001100011101
41031020303000
520134033440
62001224144
7333606463
oct115106300
942040141
1020221120
1110461477
126932054
13425cc7a
1429852da
151b9669a
hex1348cc0

20221120 has 56 divisors (see below), whose sum is σ = 49834800. Its totient is φ = 7805952.

The previous prime is 20221099. The next prime is 20221127. The reversal of 20221120 is 2112202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20221097 and 20221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221127) 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, 8191 + ... + 10369.

Almost surely, 220221120 is an apocalyptic number.

20221120 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 20221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24917400).

20221120 is an abundant number, since it is smaller than the sum of its proper divisors (29613680).

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

20221120 is a wasteful number, since it uses less digits than its factorization.

20221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2225 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20221120 is about 4496.7899661870. The cubic root of 20221120 is about 272.4384508747.

Adding to 20221120 its reverse (2112202), we get a palindrome (22333322).

The spelling of 20221120 in words is "twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2179 2320 4358 4640 8716 9280 10895 17432 21790 34864 43580 63191 69728 87160 126382 139456 174320 252764 315955 348640 505528 631910 697280 1011056 1263820 2022112 2527640 4044224 5055280 10110560 20221120