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220022420 = 225292103127
BaseRepresentation
bin11010001110101…
…00011010010100
3120100000022000112
431013110122110
5422311204140
633455502152
75311105532
oct1507243224
9510008015
10220022420
11103219112
1261827958
13367779a7
1421315152
15144b1c65
hexd1d4694

220022420 has 72 divisors (see below), whose sum is σ = 486979584. Its totient is φ = 83486592.

The previous prime is 220022419. The next prime is 220022447. The reversal of 220022420 is 24220022.

It is a junction number, because it is equal to n+sod(n) for n = 220022395 and 220022404.

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 23 ways as a sum of consecutive naturals, for example, 1732397 + ... + 1732523.

Almost surely, 2220022420 is an apocalyptic number.

220022420 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 220022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243489792).

220022420 is an abundant number, since it is smaller than the sum of its proper divisors (266957164).

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

220022420 is a wasteful number, since it uses less digits than its factorization.

220022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 220022420 is about 14833.1527329830. The cubic root of 220022420 is about 603.7015798463.

Adding to 220022420 its reverse (24220022), we get a palindrome (244242442).

The spelling of 220022420 in words is "two hundred twenty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 103 116 127 145 206 254 290 412 508 515 580 635 841 1030 1270 1682 2060 2540 2987 3364 3683 4205 5974 7366 8410 11948 13081 14732 14935 16820 18415 26162 29870 36830 52324 59740 65405 73660 86623 106807 130810 173246 213614 261620 346492 379349 427228 433115 534035 758698 866230 1068070 1517396 1732460 1896745 2136140 3793490 7586980 11001121 22002242 44004484 55005605 110011210 220022420