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22314040 = 235779693
BaseRepresentation
bin101010100011…
…1110000111000
31112222200002221
41111013300320
521203022130
62114133424
7360444340
oct125076070
945880087
1022314040
1111660961
127581274
134813798
142d6bd20
151e5b87a
hex1547c38

22314040 has 32 divisors (see below), whose sum is σ = 57379680. Its totient is φ = 7650432.

The previous prime is 22314011. The next prime is 22314043. The reversal of 22314040 is 4041322.

It is a super-3 number, since 3×223140403 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22314043) 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, 39567 + ... + 40126.

It is an arithmetic number, because the mean of its divisors is an integer number (1793115).

Almost surely, 222314040 is an apocalyptic number.

22314040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22314040 is an abundant number, since it is smaller than the sum of its proper divisors (35065640).

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

22314040 is a wasteful number, since it uses less digits than its factorization.

22314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79711 (or 79707 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22314040 is about 4723.7739149964. The cubic root of 22314040 is about 281.5309002610.

Adding to 22314040 its reverse (4041322), we get a palindrome (26355362).

The spelling of 22314040 in words is "twenty-two million, three hundred fourteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 79693 159386 318772 398465 557851 637544 796930 1115702 1593860 2231404 2789255 3187720 4462808 5578510 11157020 22314040