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22165020 = 22325196481
BaseRepresentation
bin101010010001…
…1011000011100
31112201002200200
41110203120130
521133240040
62111023500
7356254023
oct124433034
945632620
1022165020
11115699a9
12750ab90
1347909c7
142d2d8ba
151e2c630
hex152361c

22165020 has 72 divisors (see below), whose sum is σ = 70783440. Its totient is φ = 5598720.

The previous prime is 22165009. The next prime is 22165027. The reversal of 22165020 is 2056122.

It is a super-2 number, since 2×221650202 = 982576223200800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22164984 and 22165002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22165027) 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 23 ways as a sum of consecutive naturals, for example, 180 + ... + 6660.

Almost surely, 222165020 is an apocalyptic number.

22165020 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 22165020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35391720).

22165020 is an abundant number, since it is smaller than the sum of its proper divisors (48618420).

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

22165020 is a wasteful number, since it uses less digits than its factorization.

22165020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6515 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 22165020 is about 4707.9740865897. The cubic root of 22165020 is about 280.9027833727.

The spelling of 22165020 in words is "twenty-two million, one hundred sixty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 6481 12962 19443 25924 32405 38886 58329 64810 77772 97215 116658 123139 129620 194430 233316 246278 291645 369417 388860 492556 583290 615695 738834 1108251 1166580 1231390 1477668 1847085 2216502 2462780 3694170 4433004 5541255 7388340 11082510 22165020