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22134480 = 243592227
BaseRepresentation
bin101010001101…
…1111011010000
31112122112210120
41110123323100
521131300410
62110230240
7356066004
oct124337320
945575716
1022134480
1111548a65
1274b5380
13477cb34
142d22704
151e23570
hex151bed0

22134480 has 40 divisors (see below), whose sum is σ = 68617632. Its totient is φ = 5902464.

The previous prime is 22134461. The next prime is 22134481. The reversal of 22134480 is 8443122.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×221344803 (a number of 23 digits) contains 333 as substring.

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 22134480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45874 + ... + 46353.

Almost surely, 222134480 is an apocalyptic number.

22134480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22134480 is an abundant number, since it is smaller than the sum of its proper divisors (46483152).

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

22134480 is a wasteful number, since it uses less digits than its factorization.

22134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92243 (or 92237 counting only the distinct ones).

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

The square root of 22134480 is about 4704.7295352656. The cubic root of 22134480 is about 280.7737104145.

The spelling of 22134480 in words is "twenty-two million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 92227 184454 276681 368908 461135 553362 737816 922270 1106724 1383405 1475632 1844540 2213448 2766810 3689080 4426896 5533620 7378160 11067240 22134480