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2212332320 = 255119531319
BaseRepresentation
bin1000001111011101…
…1000001100100000
312201011220010102002
42003313120030200
514012324113240
61003305543132
7105552341312
oct20367301440
95634803362
102212332320
11a35893020
12518aa4aa8
1329345b9a3
1416db6b7b2
15ce355d15
hex83dd8320

2212332320 has 96 divisors (see below), whose sum is σ = 5712094080. Its totient is φ = 803031040.

The previous prime is 2212332319. The next prime is 2212332371. The reversal of 2212332320 is 232332122.

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 = 2212332292 and 2212332301.

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 15 ways as a sum of consecutive naturals, for example, 1676621 + ... + 1677939.

It is an arithmetic number, because the mean of its divisors is an integer number (59500980).

Almost surely, 22212332320 is an apocalyptic number.

2212332320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856047040).

2212332320 is an abundant number, since it is smaller than the sum of its proper divisors (3499761760).

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

2212332320 is a wasteful number, since it uses less digits than its factorization.

2212332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2212332320 is about 47035.4368535044. The cubic root of 2212332320 is about 1303.0171185048.

Adding to 2212332320 its reverse (232332122), we get a palindrome (2444664442).

The spelling of 2212332320 in words is "two billion, two hundred twelve million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 953 1319 1760 1906 2638 3812 4765 5276 6595 7624 9530 10483 10552 13190 14509 15248 19060 20966 21104 26380 29018 30496 38120 41932 42208 52415 52760 58036 72545 76240 83864 104830 105520 116072 145090 152480 167728 209660 211040 232144 290180 335456 419320 464288 580360 838640 1160720 1257007 1677280 2321440 2514014 5028028 6285035 10056056 12570070 13827077 20112112 25140140 27654154 40224224 50280280 55308308 69135385 100560560 110616616 138270770 201121120 221233232 276541540 442466464 553083080 1106166160 2212332320