Search a number
-
+
22741140 = 2235675657
BaseRepresentation
bin101011011000…
…0000010010100
31120210100222110
41112300002110
521310204030
62131231020
7364203462
oct126600224
946710873
1022741140
1111922834
127748470
134932cc6
14303d832
151ee31b0
hex15b0094

22741140 has 48 divisors (see below), whose sum is σ = 64636992. Its totient is φ = 5972736.

The previous prime is 22741139. The next prime is 22741151. The reversal of 22741140 is 4114722.

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 15 ways as a sum of consecutive naturals, for example, 1192 + ... + 6848.

It is an arithmetic number, because the mean of its divisors is an integer number (1346604).

Almost surely, 222741140 is an apocalyptic number.

22741140 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 22741140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32318496).

22741140 is an abundant number, since it is smaller than the sum of its proper divisors (41895852).

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

22741140 is a wasteful number, since it uses less digits than its factorization.

22741140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736 (or 5734 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 22741140 is about 4768.7671362733. The cubic root of 22741140 is about 283.3157666925.

Adding to 22741140 its reverse (4114722), we get a palindrome (26855862).

The spelling of 22741140 in words is "twenty-two million, seven hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 5657 11314 16971 22628 28285 33942 56570 67884 84855 113140 169710 339420 379019 758038 1137057 1516076 1895095 2274114 3790190 4548228 5685285 7580380 11370570 22741140