Search a number
-
+
242243628 = 2231113114009
BaseRepresentation
bin11100111000001…
…01100000101100
3121212211020210020
432130011200230
5444003244003
640012042140
76001015434
oct1634054054
9555736706
10242243628
11114816250
1269163350
133b258133
142425b2c4
1516400d53
hexe70582c

242243628 has 48 divisors (see below), whose sum is σ = 621371520. Its totient is φ = 72841600.

The previous prime is 242243623. The next prime is 242243657. The reversal of 242243628 is 826342242.

It is a super-3 number, since 3×2422436283 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (242243623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10288 + ... + 24296.

It is an arithmetic number, because the mean of its divisors is an integer number (12945240).

Almost surely, 2242243628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242243628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310685760).

242243628 is an abundant number, since it is smaller than the sum of its proper divisors (379127892).

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

242243628 is a wasteful number, since it uses less digits than its factorization.

242243628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14158 (or 14156 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 242243628 is about 15564.1777167957. The cubic root of 242243628 is about 623.3770183637.

The spelling of 242243628 in words is "two hundred forty-two million, two hundred forty-three thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5764 8646 14009 17292 28018 42027 56036 84054 154099 168108 308198 462297 616396 924594 1835179 1849188 3670358 5505537 7340716 11011074 20186969 22022148 40373938 60560907 80747876 121121814 242243628