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2442222120 = 2335132336719
BaseRepresentation
bin1001000110010001…
…0101101000101000
320022012110201221010
42101210111220220
520000202101440
61042201143520
7114343355052
oct22144255050
96265421833
102442222120
111043630698
12581a8aba0
132cbc7ca60
141924d08d2
15e4616580
hex91915a28

2442222120 has 128 divisors (see below), whose sum is σ = 7925299200. Its totient is φ = 598493184.

The previous prime is 2442222119. The next prime is 2442222151. The reversal of 2442222120 is 212222442.

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, 360121 + ... + 366839.

It is an arithmetic number, because the mean of its divisors is an integer number (61916400).

Almost surely, 22442222120 is an apocalyptic number.

2442222120 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 2442222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

2442222120 is an abundant number, since it is smaller than the sum of its proper divisors (5483077080).

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

2442222120 is a wasteful number, since it uses less digits than its factorization.

2442222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6979 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2442222120 is about 49418.8437744146. The cubic root of 2442222120 is about 1346.6716582612.

Adding to 2442222120 its reverse (212222442), we get a palindrome (2654444562).

The spelling of 2442222120 in words is "two billion, four hundred forty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 233 260 312 390 466 520 699 780 932 1165 1398 1560 1864 2330 2796 3029 3495 4660 5592 6058 6719 6990 9087 9320 12116 13438 13980 15145 18174 20157 24232 26876 27960 30290 33595 36348 40314 45435 53752 60580 67190 72696 80628 87347 90870 100785 121160 134380 161256 174694 181740 201570 262041 268760 349388 363480 403140 436735 524082 698776 806280 873470 1048164 1310205 1565527 1746940 2096328 2620410 3131054 3493880 4696581 5240820 6262108 7827635 9393162 10481640 12524216 15655270 18786324 20351851 23482905 31310540 37572648 40703702 46965810 61055553 62621080 81407404 93931620 101759255 122111106 162814808 187863240 203518510 244222212 305277765 407037020 488444424 610555530 814074040 1221111060 2442222120