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1222000312 = 231361712713
BaseRepresentation
bin100100011010110…
…0011111010111000
310011011102001021211
41020311203322320
510000313002222
6321131412504
742165555061
oct11065437270
93134361254
101222000312
11577872a15
122a12b4134
13166228210
14b8419568
1572434277
hex48d63eb8

1222000312 has 64 divisors (see below), whose sum is σ = 2544212160. Its totient is φ = 546739200.

The previous prime is 1222000303. The next prime is 1222000319. The reversal of 1222000312 is 2130002221.

It is a super-3 number, since 3×12220003123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1222000292 and 1222000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222000319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449068 + ... + 451780.

It is an arithmetic number, because the mean of its divisors is an integer number (39753315).

Almost surely, 21222000312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1222000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272106080).

1222000312 is an abundant number, since it is smaller than the sum of its proper divisors (1322211848).

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

1222000312 is a wasteful number, since it uses less digits than its factorization.

1222000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1222000312 is about 34957.1210485074. The cubic root of 1222000312 is about 1069.1133983860.

Adding to 1222000312 its reverse (2130002221), we get a palindrome (3352002533).

The spelling of 1222000312 in words is "one billion, two hundred twenty-two million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 13 26 52 61 71 104 122 142 244 284 488 568 793 923 1586 1846 2713 3172 3692 4331 5426 6344 7384 8662 10852 17324 21704 34648 35269 56303 70538 112606 141076 165493 192623 225212 282152 330986 385246 450424 661972 770492 1323944 1540984 2151409 2504099 4302818 5008198 8605636 10016396 11750003 17211272 20032792 23500006 47000012 94000024 152750039 305500078 611000156 1222000312