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22755540 = 22351919961
BaseRepresentation
bin101011011001…
…1100011010100
31120211002201210
41112303203110
521311134130
62131421420
7364263453
oct126634324
946732653
1022755540
1111932635
127754870
134939722
143044b9a
151ee75b0
hex15b38d4

22755540 has 48 divisors (see below), whose sum is σ = 67072320. Its totient is φ = 5748480.

The previous prime is 22755527. The next prime is 22755541. The reversal of 22755540 is 4555722.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22755498 and 22755507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22755541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8841 + ... + 11120.

It is an arithmetic number, because the mean of its divisors is an integer number (1397340).

Almost surely, 222755540 is an apocalyptic number.

22755540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22755540 is an abundant number, since it is smaller than the sum of its proper divisors (44316780).

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

22755540 is a wasteful number, since it uses less digits than its factorization.

22755540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19992 (or 19990 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 22755540 is about 4770.2767215330. The cubic root of 22755540 is about 283.3755538774.

The spelling of 22755540 in words is "twenty-two million, seven hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 19961 39922 59883 79844 99805 119766 199610 239532 299415 379259 399220 598830 758518 1137777 1197660 1517036 1896295 2275554 3792590 4551108 5688885 7585180 11377770 22755540