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22434240 = 263523369
BaseRepresentation
bin101010110010…
…1000111000000
31120012202222210
41111211013000
521220343430
62120502120
7361454643
oct125450700
946182883
1022434240
11117331a4
12761a940
1348563ca
142d9da5a
151e822b0
hex15651c0

22434240 has 56 divisors (see below), whose sum is σ = 71231760. Its totient is φ = 5982208.

The previous prime is 22434239. The next prime is 22434241. The reversal of 22434240 is 4243422.

It is an interprime number because it is at equal distance from previous prime (22434239) and next prime (22434241).

It is a super-3 number, since 3×224342403 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22434241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10725 + ... + 12644.

Almost surely, 222434240 is an apocalyptic number.

22434240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22434240 is an abundant number, since it is smaller than the sum of its proper divisors (48797520).

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

22434240 is a wasteful number, since it uses less digits than its factorization.

22434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23389 (or 23379 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 22434240 is about 4736.4797054353. The cubic root of 22434240 is about 282.0355068213.

Adding to 22434240 its reverse (4243422), we get a palindrome (26677662).

The spelling of 22434240 in words is "twenty-two million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 23369 46738 70107 93476 116845 140214 186952 233690 280428 350535 373904 467380 560856 701070 747808 934760 1121712 1402140 1495616 1869520 2243424 2804280 3739040 4486848 5608560 7478080 11217120 22434240