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2468228022 = 23213191733209
BaseRepresentation
bin1001001100011110…
…0010101110110110
320101000101222022200
42103013202232312
520023331244042
61044530405330
7115110410031
oct22307425666
96330358280
102468228022
111057283277
1258a730846
13304486a70
14195b40018
15e6a51c4c
hex931e2bb6

2468228022 has 96 divisors (see below), whose sum is σ = 6099256800. Its totient is φ = 715101696.

The previous prime is 2468227991. The next prime is 2468228027. The reversal of 2468228022 is 2208228642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468228027) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 767554 + ... + 770762.

It is an arithmetic number, because the mean of its divisors is an integer number (63533925).

Almost surely, 22468228022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468228022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049628400).

2468228022 is an abundant number, since it is smaller than the sum of its proper divisors (3631028778).

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

2468228022 is a wasteful number, since it uses less digits than its factorization.

2468228022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2468228022 is about 49681.2642955068. The cubic root of 2468228022 is about 1351.4347840320.

The spelling of 2468228022 in words is "two billion, four hundred sixty-eight million, two hundred twenty-eight thousand, twenty-two".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 173 234 247 342 346 494 519 741 1038 1482 1557 2223 2249 3114 3209 3287 4446 4498 6418 6574 6747 9627 9861 13494 19254 19722 20241 28881 29583 40482 41717 42731 57762 59166 60971 83434 85462 121942 125151 128193 182913 250302 256386 365826 375453 384579 548739 555157 750906 769158 792623 1097478 1110314 1585246 1665471 2377869 3330942 4755738 4996413 7133607 7217041 9992826 10547983 14267214 14434082 21095966 21651123 31643949 43302246 63287898 64953369 94931847 129906738 137123779 189863694 274247558 411371337 822742674 1234114011 2468228022