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34422222120 = 233511132005957
BaseRepresentation
bin100000000011101110…
…010110110100101000
310021211221111001200120
4200003232112310220
51030444042101440
623451403403240
72326005026466
oct400356266450
9107757431616
1034422222120
11136644a0a60
126807b23520
133327608a90
1419478a9836
15d66ea1dd0
hex803b96d28

34422222120 has 128 divisors (see below), whose sum is σ = 121320339840. Its totient is φ = 7702871040.

The previous prime is 34422222101. The next prime is 34422222137. The reversal of 34422222120 is 2122222443.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 985819 + ... + 1020138.

It is an arithmetic number, because the mean of its divisors is an integer number (947815155).

Almost surely, 234422222120 is an apocalyptic number.

34422222120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34422222120 is an abundant number, since it is smaller than the sum of its proper divisors (86898117720).

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

34422222120 is a wasteful number, since it uses less digits than its factorization.

34422222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005995 (or 2005991 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34422222120 its reverse (2122222443), we get a palindrome (36544444563).

The spelling of 34422222120 in words is "thirty-four billion, four hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2860 3432 4290 5720 8580 17160 2005957 4011914 6017871 8023828 10029785 12035742 16047656 20059570 22065527 24071484 26077441 30089355 40119140 44131054 48142968 52154882 60178710 66196581 78232323 80238280 88262108 104309764 110327635 120357420 130387205 132393162 156464646 176524216 208619528 220655270 240714840 260774410 264786324 286851851 312929292 330982905 391161615 441310540 521548820 529572648 573703702 625858584 661965810 782323230 860555553 882621080 1043097640 1147407404 1323931620 1434259255 1564646460 1721111106 2294814808 2647863240 2868518510 3129292920 3442222212 4302777765 5737037020 6884444424 8605555530 11474074040 17211111060 34422222120