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22841940 = 22351153653
BaseRepresentation
bin101011100100…
…0101001010100
31120222111020210
41113020221110
521321420230
62133325420
7365103402
oct127105124
946874223
1022841940
1111991540
127796870
134969b54
143068472
152012eb0
hex15c8a54

22841940 has 96 divisors (see below), whose sum is σ = 71197056. Its totient is φ = 5424640.

The previous prime is 22841927. The next prime is 22841941. The reversal of 22841940 is 4914822.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22841898 and 22841907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22841941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34654 + ... + 35306.

It is an arithmetic number, because the mean of its divisors is an integer number (741636).

Almost surely, 222841940 is an apocalyptic number.

22841940 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 22841940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35598528).

22841940 is an abundant number, since it is smaller than the sum of its proper divisors (48355116).

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

22841940 is a wasteful number, since it uses less digits than its factorization.

22841940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 22841940 is about 4779.3242200127. The cubic root of 22841940 is about 283.7337483496.

It can be divided in two parts, 2284 and 1940, that added together give a palindrome (4224).

The spelling of 22841940 in words is "twenty-two million, eight hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 653 660 795 1060 1166 1306 1590 1749 1959 2332 2612 2915 3180 3265 3498 3918 5830 6530 6996 7183 7836 8745 9795 11660 13060 14366 17490 19590 21549 28732 34609 34980 35915 39180 43098 69218 71830 86196 103827 107745 138436 143660 173045 207654 215490 346090 380699 415308 430980 519135 692180 761398 1038270 1142097 1522796 1903495 2076540 2284194 3806990 4568388 5710485 7613980 11420970 22841940