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2212242320 = 245167165587
BaseRepresentation
bin1000001111011100…
…0010001110010000
312201011201112221202
42003313002032100
514012313223240
61003304010332
7105551515031
oct20367021620
95634645852
102212242320
11a35831442
12518a609a8
13293429a32
1416db46a88
15ce339315
hex83dc2390

2212242320 has 40 divisors (see below), whose sum is σ = 5174293824. Its totient is φ = 879592832.

The previous prime is 2212242271. The next prime is 2212242341. The reversal of 2212242320 is 232422122.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2212242292 and 2212242301.

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, 69434 + ... + 96153.

Almost surely, 22212242320 is an apocalyptic number.

2212242320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2212242320 is an abundant number, since it is smaller than the sum of its proper divisors (2962051504).

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

2212242320 is a wasteful number, since it uses less digits than its factorization.

2212242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165767 (or 165761 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2212242320 is about 47034.4801183132. The cubic root of 2212242320 is about 1302.9994488973. Note that the first 3 decimals are identical.

Adding to 2212242320 its reverse (232422122), we get a palindrome (2444664442).

The spelling of 2212242320 in words is "two billion, two hundred twelve million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 6680 13360 165587 331174 662348 827935 1324696 1655870 2649392 3311740 6623480 13246960 27653029 55306058 110612116 138265145 221224232 276530290 442448464 553060580 1106121160 2212242320