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2212225422 = 23112347101307
BaseRepresentation
bin1000001111011011…
…1110000110001110
312201011200200202220
42003312332012032
514012312203142
61003303400210
7105551414541
oct20366760616
95634620686
102212225422
11a3581a780
12518a53066
13293422134
1416db40858
15ce3342ec
hex83dbe18e

2212225422 has 128 divisors (see below), whose sum is σ = 5211537408. Its totient is φ = 619344000.

The previous prime is 2212225409. The next prime is 2212225439. The reversal of 2212225422 is 2245222122.

It is a happy number.

It is a super-4 number, since 4×22122254224 (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2212225392 and 2212225401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7205793 + ... + 7206099.

It is an arithmetic number, because the mean of its divisors is an integer number (40715136).

Almost surely, 22212225422 is an apocalyptic number.

2212225422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212225422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605768704).

2212225422 is an abundant number, since it is smaller than the sum of its proper divisors (2999311986).

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

2212225422 is a wasteful number, since it uses less digits than its factorization.

2212225422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494.

The product of its digits is 2560, while the sum is 24.

The square root of 2212225422 is about 47034.3004837959. The cubic root of 2212225422 is about 1302.9961312769.

Adding to 2212225422 its reverse (2245222122), we get a palindrome (4457447544).

The spelling of 2212225422 in words is "two billion, two hundred twelve million, two hundred twenty-five thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 47 66 69 94 101 138 141 202 253 282 303 307 506 517 606 614 759 921 1034 1081 1111 1518 1551 1842 2162 2222 2323 3102 3243 3333 3377 4646 4747 6486 6666 6754 6969 7061 9494 10131 11891 13938 14122 14241 14429 20262 21183 23782 25553 28482 28858 31007 35673 42366 43287 51106 52217 62014 71346 76659 77671 86574 93021 104434 109181 153318 155342 156651 158719 186042 218362 233013 313302 317438 327543 331867 341077 466026 476157 655086 663734 682154 713161 952314 995601 1023231 1200991 1426322 1457329 1991202 2046462 2139483 2401982 2914658 3602973 3650537 4278966 4371987 7205946 7301074 7844771 8743974 10951611 15689542 16030619 21903222 23534313 32061238 33518567 47068626 48091857 67037134 96183714 100555701 201111402 368704237 737408474 1106112711 2212225422