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220211870424 = 233713971103841
BaseRepresentation
bin1100110100010110100…
…1100111101011011000
3210001101221111002022220
43031011221213223120
512101443214323144
6245055224344040
721624025004640
oct3150551475330
9701357432286
10220211870424
1185433950647
1236818615020
13179c5879110
14a930599520
155adcae1919
hex3345a67ad8

220211870424 has 128 divisors (see below), whose sum is σ = 678279329280. Its totient is φ = 58017484800.

The previous prime is 220211870423. The next prime is 220211870447. The reversal of 220211870424 is 424078112022.

220211870424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220211870423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068744 + ... + 2172584.

It is an arithmetic number, because the mean of its divisors is an integer number (5299057260).

Almost surely, 2220211870424 is an apocalyptic number.

220211870424 is a gapful number since it is divisible by the number (24) 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 220211870424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339139664640).

220211870424 is an abundant number, since it is smaller than the sum of its proper divisors (458067458856).

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

220211870424 is a wasteful number, since it uses less digits than its factorization.

220211870424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104841 (or 104837 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

Adding to 220211870424 its reverse (424078112022), we get a palindrome (644289982446).

The spelling of 220211870424 in words is "two hundred twenty billion, two hundred eleven million, eight hundred seventy thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 971 1092 1942 2184 2913 3884 5826 6797 7768 11652 12623 13594 20391 23304 25246 27188 37869 40782 50492 54376 75738 81564 88361 100984 103841 151476 163128 176722 207682 265083 302952 311523 353444 415364 530166 623046 706888 726887 830728 1060332 1246092 1349933 1453774 2120664 2180661 2492184 2699866 2907548 4049799 4361322 5399732 5815096 8099598 8722644 9449531 10799464 16199196 17445288 18899062 28348593 32398392 37798124 56697186 75596248 100829611 113394372 201659222 226788744 302488833 403318444 604977666 705807277 806636888 1209955332 1310784943 1411614554 2117421831 2419910664 2621569886 2823229108 3932354829 4234843662 5243139772 5646458216 7864709658 8469687324 9175494601 10486279544 15729419316 16939374648 18350989202 27526483803 31458838632 36701978404 55052967606 73403956808 110105935212 220211870424