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2342222120 = 235729594889
BaseRepresentation
bin1000101110011011…
…0111100100101000
320001020022012201102
42023212313210220
514244102101440
61024225540532
7112020362630
oct21346674450
96036265642
102342222120
11aa213a167
125544a4748
132b4339264
141830dd6c0
15da961b15
hex8b9b7928

2342222120 has 128 divisors (see below), whose sum is σ = 6337440000. Its totient is φ = 762058752.

The previous prime is 2342222119. The next prime is 2342222123. The reversal of 2342222120 is 212222432.

2342222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2342222092 and 2342222101.

It is not an unprimeable number, because it can be changed into a prime (2342222123) 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, 476636 + ... + 481524.

It is an arithmetic number, because the mean of its divisors is an integer number (49511250).

Almost surely, 22342222120 is an apocalyptic number.

2342222120 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 2342222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168720000).

2342222120 is an abundant number, since it is smaller than the sum of its proper divisors (3995217880).

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

2342222120 is a wasteful number, since it uses less digits than its factorization.

2342222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4991 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2342222120 is about 48396.5093782599. The cubic root of 2342222120 is about 1328.0345061073.

Adding to 2342222120 its reverse (212222432), we get a palindrome (2554444552).

The spelling of 2342222120 in words is "two billion, three hundred forty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 59 70 116 118 140 145 203 232 236 280 290 295 406 413 472 580 590 812 826 1015 1160 1180 1624 1652 1711 2030 2065 2360 3304 3422 4060 4130 4889 6844 8120 8260 8555 9778 11977 13688 16520 17110 19556 23954 24445 34220 34223 39112 47908 48890 59885 68440 68446 95816 97780 119770 136892 141781 171115 195560 239540 273784 283562 288451 342230 479080 567124 576902 684460 708905 992467 1134248 1153804 1368920 1417810 1442255 1984934 2019157 2307608 2835620 2884510 3969868 4038314 4962335 5671240 5769020 7939736 8076628 8365079 9924670 10095785 11538040 16153256 16730158 19849340 20191570 33460316 39698680 40383140 41825395 58555553 66920632 80766280 83650790 117111106 167301580 234222212 292777765 334603160 468444424 585555530 1171111060 2342222120