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2212112320 = 26511257131
BaseRepresentation
bin1000001111011010…
…0010011111000000
312201011110221121221
42003312202133000
514012300043240
61003301124424
7105550434025
oct20366423700
95634427557
102212112320
11a35752800
125189b9714
132933b2802
1416db1154c
15ce310a4a
hex83da27c0

2212112320 has 84 divisors (see below), whose sum is σ = 5790099672. Its totient is φ = 804390400.

The previous prime is 2212112299. The next prime is 2212112323. The reversal of 2212112320 is 232112122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2212112294 and 2212112303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212112323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10155 + ... + 67285.

It is an arithmetic number, because the mean of its divisors is an integer number (68929758).

Almost surely, 22212112320 is an apocalyptic number.

2212112320 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 2212112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2895049836).

2212112320 is an abundant number, since it is smaller than the sum of its proper divisors (3577987352).

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

2212112320 is a wasteful number, since it uses less digits than its factorization.

2212112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57170 (or 57149 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2212112320 is about 47033.0981331232. The cubic root of 2212112320 is about 1302.9739252849.

Adding to 2212112320 its reverse (232112122), we get a palindrome (2444224442).

The spelling of 2212112320 in words is "two billion, two hundred twelve million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 3520 3872 4840 7744 9680 19360 38720 57131 114262 228524 285655 457048 571310 628441 914096 1142620 1256882 1828192 2285240 2513764 3142205 3656384 4570480 5027528 6284410 6912851 9140960 10055056 12568820 13825702 18281920 20110112 25137640 27651404 34564255 40220224 50275280 55302808 69128510 100550560 110605616 138257020 201101120 221211232 276514040 442422464 553028080 1106056160 2212112320