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242224300240 = 24513232907981
BaseRepresentation
bin1110000110010110110…
…0011000000011010000
3212011020000202101022021
43201211230120003100
512432033410101430
6303135403221224
723333354403106
oct3414554300320
9764200671267
10242224300240
11937aa3369aa
123ab40517814
1319ac3160910
14ba1bc53c76
15647a37807a
hex3865b180d0

242224300240 has 40 divisors (see below), whose sum is σ = 606492385128. Its totient is φ = 89436664320.

The previous prime is 242224300217. The next prime is 242224300271. The reversal of 242224300240 is 42003422242.

It can be written as a sum of positive squares in 4 ways, for example, as 1963553344 + 240260746896 = 44312^2 + 490164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2422243002402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116452951 + ... + 116455030.

Almost surely, 2242224300240 is an apocalyptic number.

242224300240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242224300240 is an abundant number, since it is smaller than the sum of its proper divisors (364268084888).

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

242224300240 is a wasteful number, since it uses less digits than its factorization.

242224300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232908007 (or 232908001 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 25.

Adding to 242224300240 its reverse (42003422242), we get a palindrome (284227722482).

The spelling of 242224300240 in words is "two hundred forty-two billion, two hundred twenty-four million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 232907981 465815962 931631924 1164539905 1863263848 2329079810 3027803753 3726527696 4658159620 6055607506 9316319240 12111215012 15139018765 18632638480 24222430024 30278037530 48444860048 60556075060 121112150120 242224300240