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22041120 = 253547977
BaseRepresentation
bin101010000010…
…1001000100000
31112110210201210
41110011020200
521120303440
62104230120
7355226553
oct124051040
945423653
1022041120
1111494902
12746b340
1347494aa
142cda69a
151e05a80
hex1505220

22041120 has 96 divisors (see below), whose sum is σ = 70979328. Its totient is φ = 5746688.

The previous prime is 22041119. The next prime is 22041139. The reversal of 22041120 is 2114022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22041096 and 22041105.

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 15 ways as a sum of consecutive naturals, for example, 22072 + ... + 23048.

It is an arithmetic number, because the mean of its divisors is an integer number (739368).

Almost surely, 222041120 is an apocalyptic number.

22041120 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 22041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35489664).

22041120 is an abundant number, since it is smaller than the sum of its proper divisors (48938208).

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

22041120 is a wasteful number, since it uses less digits than its factorization.

22041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 22041120 is about 4694.7971202172. The cubic root of 22041120 is about 280.3783999538.

Adding to 22041120 its reverse (2114022), we get a palindrome (24155142).

The spelling of 22041120 in words is "twenty-two million, forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 977 1128 1410 1504 1880 1954 2256 2820 2931 3760 3908 4512 4885 5640 5862 7520 7816 9770 11280 11724 14655 15632 19540 22560 23448 29310 31264 39080 45919 46896 58620 78160 91838 93792 117240 137757 156320 183676 229595 234480 275514 367352 459190 468960 551028 688785 734704 918380 1102056 1377570 1469408 1836760 2204112 2755140 3673520 4408224 5510280 7347040 11020560 22041120