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2325215112 = 23311103233367
BaseRepresentation
bin1000101010010111…
…1111011110001000
320000001022011111020
42022211333132020
514230223340422
61022421232440
7111423000543
oct21245773610
96001264436
102325215112
11a93583590
1254a862720
132b096323c
14180b5385a
15d920295c
hex8a97f788

2325215112 has 128 divisors (see below), whose sum is σ = 6448066560. Its totient is φ = 692881920.

The previous prime is 2325215093. The next prime is 2325215119. The reversal of 2325215112 is 2115125232.

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

It is not an unprimeable number, because it can be changed into a prime (2325215119) 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 31 ways as a sum of consecutive naturals, for example, 6335553 + ... + 6335919.

It is an arithmetic number, because the mean of its divisors is an integer number (50375520).

Almost surely, 22325215112 is an apocalyptic number.

2325215112 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 2325215112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3224033280).

2325215112 is an abundant number, since it is smaller than the sum of its proper divisors (4122851448).

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

2325215112 is a wasteful number, since it uses less digits than its factorization.

2325215112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 719 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 2325215112 is about 48220.4843609021. The cubic root of 2325215112 is about 1324.8123834507.

The spelling of 2325215112 in words is "two billion, three hundred twenty-five million, two hundred fifteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 103 132 206 233 264 309 367 412 466 618 699 734 824 932 1101 1133 1236 1398 1468 1864 2202 2266 2472 2563 2796 2936 3399 4037 4404 4532 5126 5592 6798 7689 8074 8808 9064 10252 12111 13596 15378 16148 20504 23999 24222 27192 30756 32296 37801 47998 48444 61512 71997 75602 85511 95996 96888 113403 143994 151204 171022 191992 226806 256533 263989 287988 302408 342044 415811 453612 513066 527978 575976 684088 791967 831622 907224 940621 1026132 1055956 1247433 1583934 1663244 1881242 2052264 2111912 2494866 2821863 3167868 3326488 3762484 4989732 5643726 6335736 7524968 8807633 9979464 11287452 17615266 22574904 26422899 35230532 52845798 70461064 96883963 105691596 193767926 211383192 290651889 387535852 581303778 775071704 1162607556 2325215112