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222412203434340 = 223251641137529101
BaseRepresentation
bin110010100100100001100000…
…011000010010000101100100
31002011111101202212102110222200
4302210201200120102011210
5213123000143034344330
62105010431122454500
764563515511252333
oct6244414030220544
91064441685373880
10222412203434340
116495a538623397
1220b40b84b04430
1397144c479737a
143cccb45549d1a
151aaa6b9d53a60
hexca4860612164

222412203434340 has 72 divisors (see below), whose sum is σ = 674654550912888. Its totient is φ = 59309551641600.

The previous prime is 222412203434321. The next prime is 222412203434383. The reversal of 222412203434340 is 43434302214222.

222412203434340 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 12 + 203 + 4 + 3 + 434 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29548269532224 + 192863933902116 = 5435832^2 + 13887546^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 222412203434295 and 222412203434304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25775790 + ... + 33304890.

Almost surely, 2222412203434340 is an apocalyptic number.

222412203434340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222412203434340 is an abundant number, since it is smaller than the sum of its proper divisors (452242347478548).

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

222412203434340 is a wasteful number, since it uses less digits than its factorization.

222412203434340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693229 (or 7693224 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 222412203434340 its reverse (43434302214222), we get a palindrome (265846505648562).

The spelling of 222412203434340 in words is "two hundred twenty-two trillion, four hundred twelve billion, two hundred three million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 164113 328226 492339 656452 820565 984678 1477017 1641130 1969356 2461695 2954034 3282260 4923390 5908068 7385085 7529101 9846780 14770170 15058202 22587303 29540340 30116404 37645505 45174606 67761909 75291010 90349212 112936515 135523818 150582020 225873030 271047636 338809545 451746060 677619090 1355238180 1235623352413 2471246704826 3706870057239 4942493409652 6178116762065 7413740114478 11120610171717 12356233524130 14827480228956 18534350286195 22241220343434 24712467048260 37068700572390 44482440686868 55603050858585 74137401144780 111206101717170 222412203434340