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22523940 = 2233553787
BaseRepresentation
bin101010111101…
…1000000100100
31120101100001000
41111323000210
521231231230
62122433300
7362310315
oct125730044
946340030
1022523940
111179462a
127662830
13488819a
142dc460c
151e9db60
hex157b024

22523940 has 96 divisors (see below), whose sum is σ = 71487360. Its totient is φ = 5885568.

The previous prime is 22523939. The next prime is 22523947. The reversal of 22523940 is 4932522.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22523947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28227 + ... + 29013.

It is an arithmetic number, because the mean of its divisors is an integer number (744660).

Almost surely, 222523940 is an apocalyptic number.

22523940 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 22523940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35743680).

22523940 is an abundant number, since it is smaller than the sum of its proper divisors (48963420).

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

22523940 is a wasteful number, since it uses less digits than its factorization.

22523940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 22523940 is about 4745.9393169319. The cubic root of 22523940 is about 282.4108994073.

The spelling of 22523940 in words is "twenty-two million, five hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 787 795 954 1060 1431 1574 1590 1908 2361 2385 2862 3148 3180 3935 4722 4770 5724 7083 7155 7870 9444 9540 11805 14166 14310 15740 21249 23610 28332 28620 35415 41711 42498 47220 70830 83422 84996 106245 125133 141660 166844 208555 212490 250266 375399 417110 424980 500532 625665 750798 834220 1126197 1251330 1501596 1876995 2252394 2502660 3753990 4504788 5630985 7507980 11261970 22523940