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242531712 = 273370177
BaseRepresentation
bin11100111010010…
…11110110000000
3121220100212222000
432131023312000
5444042003322
640022144000
76003325353
oct1635136600
9556325860
10242531712
111149a2735
1269282000
133b3292b7
14242d429a
151645b3ac
hexe74bd80

242531712 has 64 divisors (see below), whose sum is σ = 715815600. Its totient is φ = 80842752.

The previous prime is 242531701. The next prime is 242531717. The reversal of 242531712 is 217135242.

242531712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242531717) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31633 + ... + 38544.

Almost surely, 2242531712 is an apocalyptic number.

It is an amenable number.

242531712 is an abundant number, since it is smaller than the sum of its proper divisors (473283888).

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

242531712 is an equidigital number, since it uses as much as digits as its factorization.

242531712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70200 (or 70182 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 242531712 is about 15573.4296800673. The cubic root of 242531712 is about 623.6240338772.

Adding to 242531712 its reverse (217135242), we get a palindrome (459666954).

The spelling of 242531712 in words is "two hundred forty-two million, five hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 70177 140354 210531 280708 421062 561416 631593 842124 1122832 1263186 1684248 1894779 2245664 2526372 3368496 3789558 4491328 5052744 6736992 7579116 8982656 10105488 13473984 15158232 20210976 26947968 30316464 40421952 60632928 80843904 121265856 242531712