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22660020 = 22335291447
BaseRepresentation
bin101011001110…
…0001110110100
31120122020201000
41112130032310
521300110040
62125403300
7363415125
oct126341664
946566630
1022660020
1111877899
127709530
1349050c6
14301c04c
151ec9130
hex159c3b4

22660020 has 96 divisors (see below), whose sum is σ = 72979200. Its totient is φ = 5830272.

The previous prime is 22660019. The next prime is 22660051. The reversal of 22660020 is 2006622.

22660020 is a `hidden beast` number, since 2 + 2 + 660 + 0 + 2 + 0 = 666.

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 = 22659975 and 22660002.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14937 + ... + 16383.

It is an arithmetic number, because the mean of its divisors is an integer number (760200).

Almost surely, 222660020 is an apocalyptic number.

22660020 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 22660020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36489600).

22660020 is an abundant number, since it is smaller than the sum of its proper divisors (50319180).

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

22660020 is a wasteful number, since it uses less digits than its factorization.

22660020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 22660020 is about 4760.2541948934. The cubic root of 22660020 is about 282.9784931235.

Adding to 22660020 its reverse (2006622), we get a palindrome (24666642).

The spelling of 22660020 in words is "twenty-two million, six hundred sixty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1447 1566 1740 2610 2894 3132 3915 4341 5220 5788 7235 7830 8682 13023 14470 15660 17364 21705 26046 28940 39069 41963 43410 52092 65115 78138 83926 86820 125889 130230 156276 167852 195345 209815 251778 260460 377667 390690 419630 503556 629445 755334 781380 839260 1133001 1258890 1510668 1888335 2266002 2517780 3776670 4532004 5665005 7553340 11330010 22660020