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34222700 = 22521741491
BaseRepresentation
bin1000001010001…
…1001001101100
32101101200201102
42002203021230
532230111300
63221302232
7563613431
oct202431154
971350642
1034222700
1118355026
12b564978
137123025
14478bb88
1530100d5
hex20a326c

34222700 has 72 divisors (see below), whose sum is σ = 80713584. Its totient is φ = 12544000.

The previous prime is 34222691. The next prime is 34222733. The reversal of 34222700 is 722243.

It is a happy number.

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

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, 69455 + ... + 69945.

It is an arithmetic number, because the mean of its divisors is an integer number (1121022).

Almost surely, 234222700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34222700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40356792).

34222700 is an abundant number, since it is smaller than the sum of its proper divisors (46490884).

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

34222700 is a wasteful number, since it uses less digits than its factorization.

34222700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 34222700 is about 5850.0170939921. The cubic root of 34222700 is about 324.6669566612. Note that the first 3 decimals are identical.

Adding to 34222700 its reverse (722243), we get a palindrome (34944943).

The spelling of 34222700 in words is "thirty-four million, two hundred twenty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 491 697 820 850 982 1025 1394 1700 1964 2050 2455 2788 3485 4100 4910 6970 8347 9820 12275 13940 16694 17425 20131 24550 33388 34850 40262 41735 49100 69700 80524 83470 100655 166940 201310 208675 342227 402620 417350 503275 684454 834700 1006550 1368908 1711135 2013100 3422270 6844540 8555675 17111350 34222700