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234222450 = 235272112897
BaseRepresentation
bin11011111010111…
…11001101110010
3121022201201210120
431331133031302
5434430104300
635124111110
75542600200
oct1575371562
9538651716
10234222450
11110237880
1266535496
13396aa187
1423170070
15158693a0
hexdf5f372

234222450 has 144 divisors (see below), whose sum is σ = 737390304. Its totient is φ = 48652800.

The previous prime is 234222437. The next prime is 234222509. The reversal of 234222450 is 54222432.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 234222450.

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 71 ways as a sum of consecutive naturals, for example, 79402 + ... + 82298.

It is an arithmetic number, because the mean of its divisors is an integer number (5120766).

Almost surely, 2234222450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234222450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368695152).

234222450 is an abundant number, since it is smaller than the sum of its proper divisors (503167854).

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

234222450 is a wasteful number, since it uses less digits than its factorization.

234222450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 234222450 is about 15304.3278192804. The cubic root of 234222450 is about 616.4192222070.

Adding to 234222450 its reverse (54222432), we get a palindrome (288444882).

The spelling of 234222450 in words is "two hundred thirty-four million, two hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 49 50 55 66 70 75 77 98 105 110 147 150 154 165 175 210 231 245 275 294 330 350 385 462 490 525 539 550 735 770 825 1050 1078 1155 1225 1470 1617 1650 1925 2310 2450 2695 2897 3234 3675 3850 5390 5775 5794 7350 8085 8691 11550 13475 14485 16170 17382 20279 26950 28970 31867 40425 40558 43455 60837 63734 72425 80850 86910 95601 101395 121674 141953 144850 159335 191202 202790 217275 223069 283906 304185 318670 425859 434550 446138 478005 506975 608370 669207 709765 796675 851718 956010 1013950 1115345 1338414 1419530 1520925 1561483 1593350 2129295 2230690 2390025 3041850 3122966 3346035 3548825 4258590 4684449 4780050 5576725 6692070 7097650 7807415 9368898 10646475 11153450 15614830 16730175 21292950 23422245 33460350 39037075 46844490 78074150 117111225 234222450