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242202122320 = 24524371242317
BaseRepresentation
bin1110000110010001011…
…1110001100001010000
3212011011111000121220211
43201210113301201100
512432012220403240
6303133252013504
723332665033334
oct3414427614120
9764144017824
10242202122320
1193798869344
123ab35001294
1319abb6970a2
14ba18d1d7c4
156478446bea
hex38645f1850

242202122320 has 40 divisors (see below), whose sum is σ = 563351458824. Its totient is φ = 96841016832.

The previous prime is 242202122291. The next prime is 242202122321. The reversal of 242202122320 is 23221202242.

It can be written as a sum of positive squares in 4 ways, for example, as 56899423296 + 185302699024 = 238536^2 + 430468^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 242202122291 and 242202122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242202122321) 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, 426199 + ... + 816118.

Almost surely, 2242202122320 is an apocalyptic number.

242202122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242202122320 is an abundant number, since it is smaller than the sum of its proper divisors (321149336504).

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

242202122320 is a wasteful number, since it uses less digits than its factorization.

242202122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244767 (or 1244761 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 242202122320 its reverse (23221202242), we get a palindrome (265423324562).

The spelling of 242202122320 in words is "two hundred forty-two billion, two hundred two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2437 4874 9748 12185 19496 24370 38992 48740 97480 194960 1242317 2484634 4969268 6211585 9938536 12423170 19877072 24846340 49692680 99385360 3027526529 6055053058 12110106116 15137632645 24220212232 30275265290 48440424464 60550530580 121101061160 242202122320