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34222140 = 22325316133
BaseRepresentation
bin1000001010001…
…1000000111100
32101101122221200
42002203000330
532230102030
63221255500
7563612001
oct202430074
971348850
1034222140
1118354667
12b564590
1371229b4
14478b8a8
15300ed60
hex20a303c

34222140 has 72 divisors (see below), whose sum is σ = 107173248. Its totient is φ = 8830080.

The previous prime is 34222121. The next prime is 34222169. The reversal of 34222140 is 4122243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2514 + ... + 8646.

Almost surely, 234222140 is an apocalyptic number.

34222140 is a gapful number since it is divisible by the number (30) 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 34222140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53586624).

34222140 is an abundant number, since it is smaller than the sum of its proper divisors (72951108).

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

34222140 is a wasteful number, since it uses less digits than its factorization.

34222140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34222140 is about 5849.9692306883. The cubic root of 34222140 is about 324.6651857656.

Adding to 34222140 its reverse (4122243), we get a palindrome (38344383).

The spelling of 34222140 in words is "thirty-four million, two hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 6133 12266 18399 24532 30665 36798 55197 61330 73596 91995 110394 122660 183990 190123 220788 275985 367980 380246 551970 570369 760492 950615 1103940 1140738 1711107 1901230 2281476 2851845 3422214 3802460 5703690 6844428 8555535 11407380 17111070 34222140