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22680240 = 243511371
BaseRepresentation
bin101011010000…
…1001010110000
31120200021102220
41112201022300
521301231430
62130041040
7363531102
oct126411260
946607386
1022680240
1111891000
127719180
13491137b
143025572
151ed0110
hex15a12b0

22680240 has 160 divisors (see below), whose sum is σ = 78423552. Its totient is φ = 5420800.

The previous prime is 22680211. The next prime is 22680241. The reversal of 22680240 is 4208622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22680240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319405 + ... + 319475.

Almost surely, 222680240 is an apocalyptic number.

22680240 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 22680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39211776).

22680240 is an abundant number, since it is smaller than the sum of its proper divisors (55743312).

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

22680240 is a wasteful number, since it uses less digits than its factorization.

22680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22680240 is about 4762.3775574811. The cubic root of 22680240 is about 283.0626372692.

Adding to 22680240 its reverse (4208622), we get a palindrome (26888862).

The spelling of 22680240 in words is "twenty-two million, six hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 80 88 110 120 121 132 142 165 176 213 220 240 242 264 284 330 355 363 426 440 484 528 568 605 660 710 726 781 852 880 968 1065 1136 1210 1320 1331 1420 1452 1562 1704 1815 1936 2130 2343 2420 2640 2662 2840 2904 3124 3408 3630 3905 3993 4260 4686 4840 5324 5680 5808 6248 6655 7260 7810 7986 8520 8591 9372 9680 10648 11715 12496 13310 14520 15620 15972 17040 17182 18744 19965 21296 23430 25773 26620 29040 31240 31944 34364 37488 39930 42955 46860 51546 53240 62480 63888 68728 79860 85910 93720 94501 103092 106480 128865 137456 159720 171820 187440 189002 206184 257730 283503 319440 343640 378004 412368 472505 515460 567006 687280 756008 945010 1030920 1134012 1417515 1512016 1890020 2061840 2268024 2835030 3780040 4536048 5670060 7560080 11340120 22680240