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234333441100 = 225211643331307
BaseRepresentation
bin1101101000111101011…
…1001000110001001100
3211101212002201012112001
43122033113020301030
512314403330103400
6255352402522044
722634000245633
oct3321727106114
9741762635461
10234333441100
1190420133710
12394b9966324
1319136411ab5
14b4adc7a51a
15616773aa6a
hex368f5c8c4c

234333441100 has 72 divisors (see below), whose sum is σ = 555595564608. Its totient is φ = 85079380800.

The previous prime is 234333441011. The next prime is 234333441113. The reversal of 234333441100 is 1144333432.

234333441100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 541647 + ... + 872953.

It is an arithmetic number, because the mean of its divisors is an integer number (7716605064).

Almost surely, 2234333441100 is an apocalyptic number.

234333441100 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 234333441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277797782304).

234333441100 is an abundant number, since it is smaller than the sum of its proper divisors (321262123508).

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

234333441100 is a wasteful number, since it uses less digits than its factorization.

234333441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331975 (or 331968 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 234333441100 its reverse (1144333432), we get a palindrome (235477774532).

The spelling of 234333441100 in words is "two hundred thirty-four billion, three hundred thirty-three million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 643 1100 1286 2572 3215 6430 7073 12860 14146 16075 28292 32150 35365 64300 70730 141460 176825 331307 353650 662614 707300 1325228 1656535 3313070 3644377 6626140 7288754 8282675 14577508 16565350 18221885 33130700 36443770 72887540 91109425 182218850 213030401 364437700 426060802 852121604 1065152005 2130304010 2343334411 4260608020 4686668822 5325760025 9373337644 10651520050 11716672055 21303040100 23433344110 46866688220 58583360275 117166720550 234333441100