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242133552 = 243213912097
BaseRepresentation
bin11100110111010…
…10101000110000
3121212121122210100
432123222220300
5443441233202
640005432400
76000046503
oct1633525060
9555548710
10242133552
11114750581
126910b700
133b219cbb
142422d13a
15163cd41c
hexe6eaa30

242133552 has 60 divisors (see below), whose sum is σ = 682569160. Its totient is φ = 80123904.

The previous prime is 242133547. The next prime is 242133553. The reversal of 242133552 is 255331242.

It is a happy number.

242133552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (242133553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13968 + ... + 26064.

Almost surely, 2242133552 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 242133552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341284580).

242133552 is an abundant number, since it is smaller than the sum of its proper divisors (440435608).

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

242133552 is a wasteful number, since it uses less digits than its factorization.

242133552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12250 (or 12241 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 242133552 is about 15560.6411178974. The cubic root of 242133552 is about 623.2825827943.

Adding to 242133552 its reverse (255331242), we get a palindrome (497464794).

The spelling of 242133552 in words is "two hundred forty-two million, one hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 10008 12097 20016 24194 36291 48388 72582 96776 108873 145164 193552 217746 290328 435492 580656 870984 1681483 1741968 3362966 5044449 6725932 10088898 13451864 15133347 20177796 26903728 30266694 40355592 60533388 80711184 121066776 242133552