Search a number
-
+
242335100 = 22527438397
BaseRepresentation
bin11100111000110…
…11110101111100
3121212222220021002
432130123311330
5444014210400
640014025432
76001546220
oct1634336574
9555886232
10242335100
11114878a47
12691a8278
133b28a967
1424282780
151641ced5
hexe71bd7c

242335100 has 144 divisors (see below), whose sum is σ = 628793088. Its totient is φ = 79349760.

The previous prime is 242335099. The next prime is 242335109. The reversal of 242335100 is 1533242.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242335109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2498252 + ... + 2498348.

Almost surely, 2242335100 is an apocalyptic number.

242335100 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 242335100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314396544).

242335100 is an abundant number, since it is smaller than the sum of its proper divisors (386457988).

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

242335100 is a wasteful number, since it uses less digits than its factorization.

242335100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 242335100 is about 15567.1159820951. The cubic root of 242335100 is about 623.4554715686.

Adding to 242335100 its reverse (1533242), we get a palindrome (243868342).

The spelling of 242335100 in words is "two hundred forty-two million, three hundred thirty-five thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 83 86 97 100 140 166 172 175 194 215 301 332 350 388 415 430 485 581 602 679 700 830 860 970 1075 1162 1204 1358 1505 1660 1940 2075 2150 2324 2425 2716 2905 3010 3395 3569 4150 4171 4300 4850 5810 6020 6790 7138 7525 8051 8300 8342 9700 11620 13580 14276 14525 15050 16102 16684 16975 17845 20855 24983 29050 29197 30100 32204 33950 35690 40255 41710 49966 56357 58100 58394 67900 71380 80510 83420 89225 99932 104275 112714 116788 124915 145985 161020 178450 201275 208550 225428 249830 281785 291970 346193 356900 402550 417100 499660 563570 583940 624575 692386 729925 805100 1127140 1249150 1384772 1408925 1459850 1730965 2423351 2498300 2817850 2919700 3461930 4846702 5635700 6923860 8654825 9693404 12116755 17309650 24233510 34619300 48467020 60583775 121167550 242335100