[go: up one dir, main page]

Search a number
-
+
6422772246 = 23115314912323
BaseRepresentation
bin1011111101101001…
…11011101000010110
3121120121120122011120
411332310323220112
5101123212202441
62541154144410
7315106443342
oct57664735026
917517518146
106422772246
1127a653a940
1212b2b82106
137b4851567
1444d020622
15278ce8966
hex17ed3ba16

6422772246 has 64 divisors (see below), whose sum is σ = 14374713600. Its totient is φ = 1896602240.

The previous prime is 6422772233. The next prime is 6422772253.

6422772246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6422772198 and 6422772207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515041 + ... + 527363.

It is an arithmetic number, because the mean of its divisors is an integer number (224604900).

Almost surely, 26422772246 is an apocalyptic number.

6422772246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6422772246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187356800).

6422772246 is an abundant number, since it is smaller than the sum of its proper divisors (7951941354).

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

6422772246 is a wasteful number, since it uses less digits than its factorization.

6422772246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541.

The product of its digits is 451584, while the sum is 42.

The square root of 6422772246 is about 80142.2001569710. The cubic root of 6422772246 is about 1858.8349977103.

The spelling of 6422772246 in words is "six billion, four hundred twenty-two million, seven hundred seventy-two thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 53 66 106 149 159 298 318 447 583 894 1166 1639 1749 3278 3498 4917 7897 9834 12323 15794 23691 24646 36969 47382 73938 86867 135553 173734 260601 271106 406659 521202 653119 813318 1306238 1836127 1959357 3672254 3918714 5508381 7184309 11016762 14368618 20197397 21552927 40394794 43105854 60592191 97314731 121184382 194629462 291944193 583888386 1070462041 2140924082 3211386123 6422772246