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22742240 = 255197481
BaseRepresentation
bin101011011000…
…0010011100000
31120210102111012
41112300103200
521310222430
62131240052
7364206623
oct126602340
946712435
1022742240
1111923644
127749028
134933661
14303ddba
151ee3695
hex15b04e0

22742240 has 48 divisors (see below), whose sum is σ = 56563920. Its totient is φ = 8616960.

The previous prime is 22742197. The next prime is 22742273. The reversal of 22742240 is 4224722.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 701 + ... + 6780.

It is an arithmetic number, because the mean of its divisors is an integer number (1178415).

Almost surely, 222742240 is an apocalyptic number.

22742240 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 22742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28281960).

22742240 is an abundant number, since it is smaller than the sum of its proper divisors (33821680).

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

22742240 is a wasteful number, since it uses less digits than its factorization.

22742240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7515 (or 7507 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 23.

The square root of 22742240 is about 4768.8824686713. The cubic root of 22742240 is about 283.3203346593.

Adding to 22742240 its reverse (4224722), we get a palindrome (26966962).

The spelling of 22742240 in words is "twenty-two million, seven hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 7481 14962 29924 37405 59848 74810 119696 142139 149620 239392 284278 299240 568556 598480 710695 1137112 1196960 1421390 2274224 2842780 4548448 5685560 11371120 22742240