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242202202224 = 2435935785009
BaseRepresentation
bin1110000110010001100…
…0000101000001110000
3212011011111011200112020
43201210120011001300
512432012230432344
6303133253431440
723332665515313
oct3414430050160
9764144150466
10242202202224
1193798913384
123ab3503b580
1319abb6c4578
14ba18d4097a
156478460719
hex3864605070

242202202224 has 40 divisors (see below), whose sum is σ = 625706923920. Its totient is φ = 80731757568.

The previous prime is 242202202217. The next prime is 242202202241. The reversal of 242202202224 is 422202202242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 242202202194 and 242202202203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2806632 + ... + 2891640.

It is an arithmetic number, because the mean of its divisors is an integer number (15642673098).

Almost surely, 2242202202224 is an apocalyptic number.

242202202224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242202202224 is an abundant number, since it is smaller than the sum of its proper divisors (383504721696).

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

242202202224 is a wasteful number, since it uses less digits than its factorization.

242202202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144377 (or 144371 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 242202202224 its reverse (422202202242), we get a palindrome (664404404466).

The spelling of 242202202224 in words is "two hundred forty-two billion, two hundred two million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59357 85009 118714 170018 178071 237428 255027 340036 356142 474856 510054 680072 712284 949712 1020108 1360144 1424568 2040216 2849136 4080432 5045879213 10091758426 15137637639 20183516852 30275275278 40367033704 60550550556 80734067408 121101101112 242202202224