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22240640 = 275193159
BaseRepresentation
bin101010011010…
…1110110000000
31112211221102102
41110311312000
521143200030
62112405532
7360020342
oct124656600
945757372
1022240640
11116107a4
1275468a8
1347b9256
142d4d292
151e44c45
hex1535d80

22240640 has 128 divisors (see below), whose sum is σ = 58752000. Its totient is φ = 8017920.

The previous prime is 22240637. The next prime is 22240643. The reversal of 22240640 is 4604222.

It is an interprime number because it is at equal distance from previous prime (22240637) and next prime (22240643).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22240643) 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 15 ways as a sum of consecutive naturals, for example, 376931 + ... + 376989.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 222240640 is an apocalyptic number.

22240640 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 22240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29376000).

22240640 is an abundant number, since it is smaller than the sum of its proper divisors (36511360).

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

22240640 is a wasteful number, since it uses less digits than its factorization.

22240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 22240640 is about 4715.9983036469. The cubic root of 22240640 is about 281.2218710963.

Adding to 22240640 its reverse (4604222), we get a palindrome (26844862).

The spelling of 22240640 in words is "twenty-two million, two hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 59 62 64 76 80 95 118 124 128 152 155 160 190 236 248 295 304 310 320 380 472 496 589 590 608 620 640 760 944 992 1121 1178 1180 1216 1240 1520 1829 1888 1984 2242 2356 2360 2432 2480 2945 3040 3658 3776 3968 4484 4712 4720 4960 5605 5890 6080 7316 7552 8968 9145 9424 9440 9920 11210 11780 12160 14632 17936 18290 18848 18880 19840 22420 23560 29264 34751 35872 36580 37696 37760 44840 47120 58528 69502 71744 73160 75392 89680 94240 117056 139004 143488 146320 173755 179360 188480 234112 278008 292640 347510 358720 376960 556016 585280 695020 717440 1112032 1170560 1390040 2224064 2780080 4448128 5560160 11120320 22240640