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234213100 = 2252111491429
BaseRepresentation
bin11011111010111…
…00111011101100
3121022201020222021
431331130323230
5434424304400
635123555524
75542531012
oct1575347354
9538636867
10234213100
11110230850
126652bba4
13396a5b44
142316a8b2
151586671a
hexdf5ceec

234213100 has 72 divisors (see below), whose sum is σ = 558558000. Its totient is φ = 84537600.

The previous prime is 234213073. The next prime is 234213107. The reversal of 234213100 is 1312432.

It is a happy number.

It is a super-2 number, since 2×2342131002 = 109711552423220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234213107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163186 + ... + 164614.

It is an arithmetic number, because the mean of its divisors is an integer number (7757750).

Almost surely, 2234213100 is an apocalyptic number.

234213100 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 234213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279279000).

234213100 is an abundant number, since it is smaller than the sum of its proper divisors (324344900).

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

234213100 is a wasteful number, since it uses less digits than its factorization.

234213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 234213100 is about 15304.0223470825. The cubic root of 234213100 is about 616.4110197533.

Adding to 234213100 its reverse (1312432), we get a palindrome (235525532).

The spelling of 234213100 in words is "two hundred thirty-four million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 149 220 275 298 550 596 745 1100 1429 1490 1639 2858 2980 3278 3725 5716 6556 7145 7450 8195 14290 14900 15719 16390 28580 31438 32780 35725 40975 62876 71450 78595 81950 142900 157190 163900 212921 314380 392975 425842 785950 851684 1064605 1571900 2129210 2342131 4258420 4684262 5323025 9368524 10646050 11710655 21292100 23421310 46842620 58553275 117106550 234213100