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220022010 = 232513383491
BaseRepresentation
bin11010001110101…
…00010011111010
3120100000021110100
431013110103322
5422311201020
633455500230
75311104405
oct1507242372
9510007410
10220022010
1110321887a
1261827676
1336777750
1421314d3c
15144b1a90
hexd1d44fa

220022010 has 96 divisors (see below), whose sum is σ = 618928128. Its totient is φ = 53907840.

The previous prime is 220022009. The next prime is 220022021. The reversal of 220022010 is 10220022.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220021983 and 220022001.

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, 447865 + ... + 448355.

It is an arithmetic number, because the mean of its divisors is an integer number (6447168).

Almost surely, 2220022010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309464064).

220022010 is an abundant number, since it is smaller than the sum of its proper divisors (398906118).

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

220022010 is a wasteful number, since it uses less digits than its factorization.

220022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 220022010 is about 14833.1389125835. The cubic root of 220022010 is about 603.7012048576.

Adding to 220022010 its reverse (10220022), we get a palindrome (230242032).

The spelling of 220022010 in words is "two hundred twenty million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 383 390 491 585 766 982 1149 1170 1473 1915 2298 2455 2946 3447 3830 4419 4910 4979 5745 6383 6894 7365 8838 9958 11490 12766 14730 14937 17235 19149 22095 24895 29874 31915 34470 38298 44190 44811 49790 57447 63830 74685 89622 95745 114894 149370 188053 191490 224055 287235 376106 448110 564159 574470 940265 1128318 1692477 1880530 2444689 2820795 3384954 4889378 5641590 7334067 8462385 12223445 14668134 16924770 22002201 24446890 36670335 44004402 73340670 110011005 220022010