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22089060 = 22325747373
BaseRepresentation
bin101010001000…
…0110101100100
31112120020111100
41110100311210
521123322220
62105240100
7355516410
oct124206544
945506440
1022089060
1111517924
127493030
134765266
142d0dd40
151e14d90
hex1510d64

22089060 has 144 divisors (see below), whose sum is σ = 78414336. Its totient is φ = 4928256.

The previous prime is 22089049. The next prime is 22089079. The reversal of 22089060 is 6098022.

It is a super-3 number, since 3×220890603 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59034 + ... + 59406.

It is an arithmetic number, because the mean of its divisors is an integer number (544544).

Almost surely, 222089060 is an apocalyptic number.

22089060 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 22089060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39207168).

22089060 is an abundant number, since it is smaller than the sum of its proper divisors (56325276).

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

22089060 is a wasteful number, since it uses less digits than its factorization.

22089060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 22089060 is about 4699.8999989361. The cubic root of 22089060 is about 280.5815294857.

The spelling of 22089060 in words is "twenty-two million, eighty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 373 420 423 470 564 630 658 705 746 846 940 987 1119 1260 1316 1410 1492 1645 1692 1865 1974 2115 2238 2611 2820 2961 3290 3357 3730 3948 4230 4476 4935 5222 5595 5922 6580 6714 7460 7833 8460 9870 10444 11190 11844 13055 13428 14805 15666 16785 17531 19740 22380 23499 26110 29610 31332 33570 35062 39165 46998 52220 52593 59220 67140 70124 78330 87655 93996 105186 117495 122717 156660 157779 175310 210372 234990 245434 262965 315558 350620 368151 469980 490868 525930 613585 631116 736302 788895 1051860 1104453 1227170 1472604 1577790 1840755 2208906 2454340 3155580 3681510 4417812 5522265 7363020 11044530 22089060