Search a number
-
+
2322243024 = 243239772153
BaseRepresentation
bin1000101001101010…
…1001110111010000
312222211201011112220
42022122221313100
514223443234044
61022233421040
7111355511553
oct21232516720
95884634486
102322243024
11a91933612
1254986a780
132b01624ca
141805bc69a
15d8d17019
hex8a6a9dd0

2322243024 has 80 divisors (see below), whose sum is σ = 6269277312. Its totient is φ = 739323904.

The previous prime is 2322243019. The next prime is 2322243067. The reversal of 2322243024 is 4203422232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2322242985 and 2322243003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077532 + ... + 1079684.

Almost surely, 22322243024 is an apocalyptic number.

2322243024 is a gapful number since it is divisible by the number (24) 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 2322243024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134638656).

2322243024 is an abundant number, since it is smaller than the sum of its proper divisors (3947034288).

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

2322243024 is a wasteful number, since it uses less digits than its factorization.

2322243024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2322243024 is about 48189.6568155450. The cubic root of 2322243024 is about 1324.2476847585.

Adding to 2322243024 its reverse (4203422232), we get a palindrome (6525665256).

The spelling of 2322243024 in words is "two billion, three hundred twenty-two million, two hundred forty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 977 1104 1954 2153 2931 3908 4306 5862 6459 7816 8612 11724 12918 15632 17224 22471 23448 25836 34448 44942 46896 49519 51672 67413 89884 99038 103344 134826 148557 179768 198076 269652 297114 359536 396152 539304 594228 792304 1078608 1188456 2103481 2376912 4206962 6310443 8413924 12620886 16827848 25241772 33655696 48380063 50483544 96760126 100967088 145140189 193520252 290280378 387040504 580560756 774081008 1161121512 2322243024