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2325210040 = 2354111312547
BaseRepresentation
bin1000101010010111…
…1110001110111000
320000001021220112101
42022211332032320
514230223210130
61022421153144
7111422650006
oct21245761670
96001256471
102325210040
11a9357a79a
1254a85b7b4
132b0960b3a
14180b51a76
15d92011ca
hex8a97e3b8

2325210040 has 64 divisors (see below), whose sum is σ = 5407184160. Its totient is φ = 899297280.

The previous prime is 2325210031. The next prime is 2325210061. The reversal of 2325210040 is 400125232.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 179047 + ... + 191593.

Almost surely, 22325210040 is an apocalyptic number.

2325210040 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 2325210040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703592080).

2325210040 is an abundant number, since it is smaller than the sum of its proper divisors (3081974120).

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

2325210040 is a wasteful number, since it uses less digits than its factorization.

2325210040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12712 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2325210040 is about 48220.4317691163. The cubic root of 2325210040 is about 1324.8114201773.

Adding to 2325210040 its reverse (400125232), we get a palindrome (2725335272).

The spelling of 2325210040 in words is "two billion, three hundred twenty-five million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 113 164 205 226 328 410 452 565 820 904 1130 1640 2260 4520 4633 9266 12547 18532 23165 25094 37064 46330 50188 62735 92660 100376 125470 185320 250940 501880 514427 1028854 1417811 2057708 2572135 2835622 4115416 5144270 5671244 7089055 10288540 11342488 14178110 20577080 28356220 56712440 58130251 116260502 232521004 290651255 465042008 581302510 1162605020 2325210040