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22261140 = 223251111243
BaseRepresentation
bin101010011101…
…0110110010100
31112212222112200
41110322312110
521144324030
62113044500
7360134166
oct124726624
945788480
1022261140
1111625140
127556730
1347c5695
142d56936
151e4ad60
hex153ad94

22261140 has 72 divisors (see below), whose sum is σ = 73670688. Its totient is φ = 5396160.

The previous prime is 22261123. The next prime is 22261147. The reversal of 22261140 is 4116222.

22261140 = 6092 + 6102 + ... + 6632.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22261147) 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 23 ways as a sum of consecutive naturals, for example, 3642 + ... + 7601.

It is an arithmetic number, because the mean of its divisors is an integer number (1023204).

Almost surely, 222261140 is an apocalyptic number.

22261140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22261140 is an abundant number, since it is smaller than the sum of its proper divisors (51409548).

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

22261140 is a wasteful number, since it uses less digits than its factorization.

22261140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11269 (or 11264 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22261140 is about 4718.1712558999. The cubic root of 22261140 is about 281.3082486762.

Adding to 22261140 its reverse (4116222), we get a palindrome (26377362).

It can be divided in two parts, 22 and 261140, that added together give a palindrome (261162).

The spelling of 22261140 in words is "twenty-two million, two hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 11243 22486 33729 44972 56215 67458 101187 112430 123673 134916 168645 202374 224860 247346 337290 371019 404748 494692 505935 618365 674580 742038 1011870 1113057 1236730 1484076 1855095 2023740 2226114 2473460 3710190 4452228 5565285 7420380 11130570 22261140