Search a number
-
+
2325040040 = 235375329641
BaseRepresentation
bin1000101010010101…
…0100101110101000
320000000222021100002
42022211110232220
514230202240130
61022413402132
7111421341251
oct21245245650
96000867302
102325040040
11a93473aa4
1254a799348
132b090164b
14180b09b28
15d91bab45
hex8a954ba8

2325040040 has 64 divisors (see below), whose sum is σ = 5474284560. Its totient is φ = 887777280.

The previous prime is 2325040033. The next prime is 2325040049. The reversal of 2325040040 is 400405232.

It can be written as a sum of positive squares in 8 ways, for example, as 2195672164 + 129367876 = 46858^2 + 11374^2 .

It is a super-2 number, since 2×23250400402 = 10811622375206403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2325039994 and 2325040021.

It is not an unprimeable number, because it can be changed into a prime (2325040049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63620 + ... + 93260.

Almost surely, 22325040040 is an apocalyptic number.

2325040040 is a gapful number since it is divisible by the number (20) 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 2325040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737142280).

2325040040 is an abundant number, since it is smaller than the sum of its proper divisors (3149244520).

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

2325040040 is a wasteful number, since it uses less digits than its factorization.

2325040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29742 (or 29738 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 2325040040 is about 48218.6689986358. The cubic root of 2325040040 is about 1324.7791329966.

Adding to 2325040040 its reverse (400405232), we get a palindrome (2725445272).

The spelling of 2325040040 in words is "two billion, three hundred twenty-five million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 53 74 106 148 185 212 265 296 370 424 530 740 1060 1480 1961 2120 3922 7844 9805 15688 19610 29641 39220 59282 78440 118564 148205 237128 296410 592820 1096717 1185640 1570973 2193434 3141946 4386868 5483585 6283892 7854865 8773736 10967170 12567784 15709730 21934340 31419460 43868680 58126001 62838920 116252002 232504004 290630005 465008008 581260010 1162520020 2325040040