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242230432220 = 225713935934673
BaseRepresentation
bin1110000110011000001…
…1110001000111011100
3212011020110021220210122
43201212003301013130
512432041442312340
6303140142454112
723333460462440
oct3414603610734
9764213256718
10242230432220
1193802844a57
123ab42594338
1319ac44c99ca
14ba1c9ac820
15647ab89db5
hex38660f11dc

242230432220 has 96 divisors (see below), whose sum is σ = 587183385600. Its totient is φ = 82220903424.

The previous prime is 242230432219. The next prime is 242230432231. The reversal of 242230432220 is 22234032242.

It is a self number, because there is not a number n which added to its sum of digits gives 242230432220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6968804 + ... + 7003476.

It is an arithmetic number, because the mean of its divisors is an integer number (6116493600).

Almost surely, 2242230432220 is an apocalyptic number.

242230432220 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 242230432220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293591692800).

242230432220 is an abundant number, since it is smaller than the sum of its proper divisors (344952953380).

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

242230432220 is a wasteful number, since it uses less digits than its factorization.

242230432220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35187 (or 35185 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 242230432220 its reverse (22234032242), we get a palindrome (264464464462).

The spelling of 242230432220 in words is "two hundred forty-two billion, two hundred thirty million, four hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 359 556 695 718 973 1390 1436 1795 1946 2513 2780 3590 3892 4865 5026 7180 9730 10052 12565 19460 25130 34673 49901 50260 69346 99802 138692 173365 199604 242711 249505 346730 349307 485422 499010 693460 698614 970844 998020 1213555 1397228 1746535 2427110 3493070 4819547 4854220 6986140 9639094 12447607 19278188 24097735 24895214 33736829 48195470 49790428 62238035 67473658 87133249 96390940 124476070 134947316 168684145 174266498 248952140 337368290 348532996 435666245 674736580 871332490 1730217373 1742664980 3460434746 6920869492 8651086865 12111521611 17302173730 24223043222 34604347460 48446086444 60557608055 121115216110 242230432220