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242212234240 = 210547307077
BaseRepresentation
bin1110000110010011111…
…0010110010000000000
3212011012012001100212101
43201210332112100000
512432022312443430
6303134252440144
723333150010214
oct3414476262000
9764165040771
10242212234240
11937a35455a9
123ab38479054
1319ac07c7882
14ba1a3d2944
156479292dca
hex3864f96400

242212234240 has 44 divisors (see below), whose sum is σ = 581025531996. Its totient is φ = 96884891648.

The previous prime is 242212234189. The next prime is 242212234247. The reversal of 242212234240 is 42432212242.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 59958378496 + 182253855744 = 244864^2 + 426912^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242212234199 and 242212234208.

It is not an unprimeable number, because it can be changed into a prime (242212234247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23648419 + ... + 23658658.

Almost surely, 2242212234240 is an apocalyptic number.

242212234240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242212234240 is an abundant number, since it is smaller than the sum of its proper divisors (338813297756).

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

242212234240 is an equidigital number, since it uses as much as digits as its factorization.

242212234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47307102 (or 47307084 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242212234240 its reverse (42432212242), we get a palindrome (284644446482).

The spelling of 242212234240 in words is "two hundred forty-two billion, two hundred twelve million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2560 5120 47307077 94614154 189228308 236535385 378456616 473070770 756913232 946141540 1513826464 1892283080 3027652928 3784566160 6055305856 7569132320 12110611712 15138264640 24221223424 30276529280 48442446848 60553058560 121106117120 242212234240