Search a number
-
+
2322024012 = 22327114120431
BaseRepresentation
bin1000101001100111…
…0100011001001100
312222211022001010100
42022121310121030
514223414232022
61022225011100
7111353610210
oct21231643114
95884261110
102322024012
11a917a4010
12549783a90
132b00b6909
14180562940
15d8cc21ac
hex8a67464c

2322024012 has 144 divisors (see below), whose sum is σ = 7496745984. Its totient is φ = 588384000.

The previous prime is 2322023993. The next prime is 2322024043. The reversal of 2322024012 is 2104202232.

It is a super-2 number, since 2×23220240122 = 10783591024609152288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103437 + ... + 123867.

It is an arithmetic number, because the mean of its divisors is an integer number (52060736).

Almost surely, 22322024012 is an apocalyptic number.

2322024012 is a gapful number since it is divisible by the number (22) 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 2322024012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748372992).

2322024012 is an abundant number, since it is smaller than the sum of its proper divisors (5174721972).

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

2322024012 is a wasteful number, since it uses less digits than its factorization.

2322024012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20500 (or 20495 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2322024012 is about 48187.3843656200. The cubic root of 2322024012 is about 1324.2060532771.

Adding to 2322024012 its reverse (2104202232), we get a palindrome (4426226244).

The spelling of 2322024012 in words is "two billion, three hundred twenty-two million, twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 451 462 492 574 693 738 861 902 924 1148 1353 1386 1476 1722 1804 2583 2706 2772 3157 3444 4059 5166 5412 6314 8118 9471 10332 12628 16236 18942 20431 28413 37884 40862 56826 61293 81724 113652 122586 143017 183879 224741 245172 286034 367758 429051 449482 572068 674223 735516 837671 858102 898964 1287153 1348446 1573187 1675342 1716204 2022669 2513013 2574306 2696892 3146374 3350684 4045338 4719561 5026026 5148612 5863697 6292748 7539039 8090676 9214381 9439122 10052052 11727394 14158683 15078078 17591091 18428762 18878244 23454788 27643143 28317366 30156156 35182182 36857524 52773273 55286286 56634732 64500667 70364364 82929429 105546546 110572572 129001334 165858858 193502001 211093092 258002668 331717716 387004002 580506003 774008004 1161012006 2322024012