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2325261820 = 225723231397
BaseRepresentation
bin1000101010011000…
…1010110111111100
320000001101112120011
42022212022313330
514230231334240
61022422233004
7111423253660
oct21246126774
96001345504
102325261820
11a93605692
1254a885764
132b097b58b
14180b668a0
15d92116ea
hex8a98adfc

2325261820 has 72 divisors (see below), whose sum is σ = 5833999584. Its totient is φ = 762546048.

The previous prime is 2325261811. The next prime is 2325261839. The reversal of 2325261820 is 281625232.

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 23 ways as a sum of consecutive naturals, for example, 58362 + ... + 89758.

It is an arithmetic number, because the mean of its divisors is an integer number (81027772).

Almost surely, 22325261820 is an apocalyptic number.

2325261820 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 2325261820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916999792).

2325261820 is an abundant number, since it is smaller than the sum of its proper divisors (3508737764).

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

2325261820 is a wasteful number, since it uses less digits than its factorization.

2325261820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31459 (or 31434 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2325261820 is about 48220.9686754632. The cubic root of 2325261820 is about 1324.8212541600.

The spelling of 2325261820 in words is "two billion, three hundred twenty-five million, two hundred sixty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 529 644 805 1058 1610 2116 2645 3220 3703 5290 7406 10580 14812 18515 31397 37030 62794 74060 125588 156985 219779 313970 439558 627940 722131 879116 1098895 1444262 2197790 2888524 3610655 4395580 5054917 7221310 10109834 14442620 16609013 20219668 25274585 33218026 50549170 66436052 83045065 101098340 116263091 166090130 232526182 332180260 465052364 581315455 1162630910 2325261820