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22049640 = 23325232663
BaseRepresentation
bin101010000011…
…1001101101000
31112111020102100
41110013031220
521121042030
62104333400
7355263444
oct124071550
945436370
1022049640
11114a0248
127474260
134750332
142cdd824
151e08360
hex1507368

22049640 has 96 divisors (see below), whose sum is σ = 74805120. Its totient is φ = 5622144.

The previous prime is 22049623. The next prime is 22049641. The reversal of 22049640 is 4694022.

It is not an unprimeable number, because it can be changed into a prime (22049641) 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 23 ways as a sum of consecutive naturals, for example, 6949 + ... + 9611.

It is an arithmetic number, because the mean of its divisors is an integer number (779220).

Almost surely, 222049640 is an apocalyptic number.

22049640 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 22049640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37402560).

22049640 is an abundant number, since it is smaller than the sum of its proper divisors (52755480).

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

22049640 is a wasteful number, since it uses less digits than its factorization.

22049640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22049640 is about 4695.7044199992. The cubic root of 22049640 is about 280.4145220782.

The spelling of 22049640 in words is "twenty-two million, forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2663 2760 4140 5326 7989 8280 10652 13315 15978 21304 23967 26630 31956 39945 47934 53260 61249 63912 79890 95868 106520 119835 122498 159780 183747 191736 239670 244996 306245 319560 367494 479340 489992 551241 612490 734988 918735 958680 1102482 1224980 1469976 1837470 2204964 2449960 2756205 3674940 4409928 5512410 7349880 11024820 22049640