Search a number
-
+
242211330 = 23354192141
BaseRepresentation
bin11100110111111…
…01101000000010
3121212202121111000
432123331220002
5444001230310
640011232430
76000522324
oct1633755002
9555677430
10242211330
111147a3a59
1269148716
133b24651a
142424d614
15163e64c0
hexe6fda02

242211330 has 64 divisors (see below), whose sum is σ = 647740800. Its totient is φ = 64405440.

The previous prime is 242211323. The next prime is 242211341. The reversal of 242211330 is 33112242.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112060 + ... + 114200.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2242211330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323870400).

242211330 is an abundant number, since it is smaller than the sum of its proper divisors (405529470).

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

242211330 is a wasteful number, since it uses less digits than its factorization.

242211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 242211330 is about 15563.1401073177. The cubic root of 242211330 is about 623.3493124738.

Adding to 242211330 its reverse (33112242), we get a palindrome (275323572).

The spelling of 242211330 in words is "two hundred forty-two million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 419 838 1257 2095 2141 2514 3771 4190 4282 6285 6423 7542 10705 11313 12570 12846 18855 19269 21410 22626 32115 37710 38538 56565 57807 64230 96345 113130 115614 192690 289035 578070 897079 1794158 2691237 4485395 5382474 8073711 8970790 13456185 16147422 24221133 26912370 40368555 48442266 80737110 121105665 242211330