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242531044 = 227172322153
BaseRepresentation
bin11100111010010…
…11101011100100
3121220100212001021
432131023223210
5444041443134
640022140524
76003323410
oct1635135344
9556325037
10242531044
111149a2188
1269281744
133b328bc2
14242d3d40
151645b0b4
hexe74bae4

242531044 has 48 divisors (see below), whose sum is σ = 535949568. Its totient is φ = 93570048.

The previous prime is 242531033. The next prime is 242531053. The reversal of 242531044 is 440135242.

It is a happy number.

242531044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129 + ... + 22024.

It is an arithmetic number, because the mean of its divisors is an integer number (11165616).

Almost surely, 2242531044 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 242531044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267974784).

242531044 is an abundant number, since it is smaller than the sum of its proper divisors (293418524).

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

242531044 is a wasteful number, since it uses less digits than its factorization.

242531044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22204 (or 22202 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 242531044 is about 15573.4082332674. The cubic root of 242531044 is about 623.6234613319.

Adding to 242531044 its reverse (440135242), we get a palindrome (682666286).

The spelling of 242531044 in words is "two hundred forty-two million, five hundred thirty-one thousand, forty-four".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2737 5474 10948 22153 44306 88612 155071 310142 376601 509519 620284 753202 1019038 1506404 2038076 2636207 3566633 5272414 7133266 8661823 10544828 14266532 17323646 34647292 60632761 121265522 242531044