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22053840 = 2435432137
BaseRepresentation
bin101010000100…
…0001111010000
31112111110011220
41110020033100
521121210330
62104405040
7355311624
oct124101720
945443156
1022053840
11114a3416
127476780
134752213
142d01184
151e09710
hex15083d0

22053840 has 80 divisors (see below), whose sum is σ = 69989568. Its totient is φ = 5741568.

The previous prime is 22053827. The next prime is 22053841. The reversal of 22053840 is 4835022.

It is a tau number, because it is divible by the number of its divisors (80).

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 22053840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22053841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9252 + ... + 11388.

Almost surely, 222053840 is an apocalyptic number.

22053840 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 22053840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34994784).

22053840 is an abundant number, since it is smaller than the sum of its proper divisors (47935728).

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

22053840 is a wasteful number, since it uses less digits than its factorization.

22053840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 22053840 is about 4696.1516159511. The cubic root of 22053840 is about 280.4323253352.

Adding to 22053840 its reverse (4835022), we get a palindrome (26888862).

The spelling of 22053840 in words is "twenty-two million, fifty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2137 2580 3440 4274 5160 6411 8548 10320 10685 12822 17096 21370 25644 32055 34192 42740 51288 64110 85480 91891 102576 128220 170960 183782 256440 275673 367564 459455 512880 551346 735128 918910 1102692 1378365 1470256 1837820 2205384 2756730 3675640 4410768 5513460 7351280 11026920 22053840