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2322640416 = 253731572111
BaseRepresentation
bin1000101001110000…
…1010111000100000
312222212110100200010
42022130022320200
514224043443131
61022250124520
7111362055255
oct21234127040
95885410603
102322640416
11a92085138
12549a20740
132b0271355
1418068342c
15d8d94b46
hex8a70ae20

2322640416 has 96 divisors (see below), whose sum is σ = 6222763008. Its totient is φ = 758384640.

The previous prime is 2322640381. The next prime is 2322640457. The reversal of 2322640416 is 6140462232.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1099201 + ... + 1101311.

It is an arithmetic number, because the mean of its divisors is an integer number (64820448).

Almost surely, 22322640416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2322640416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111381504).

2322640416 is an abundant number, since it is smaller than the sum of its proper divisors (3900122592).

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

2322640416 is a wasteful number, since it uses less digits than its factorization.

2322640416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2322640416 is about 48193.7798476110. The cubic root of 2322640416 is about 1324.3232173959.

The spelling of 2322640416 in words is "two billion, three hundred twenty-two million, six hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 157 219 292 314 438 471 584 628 876 942 1168 1256 1752 1884 2111 2336 2512 3504 3768 4222 5024 6333 7008 7536 8444 11461 12666 15072 16888 22922 25332 33776 34383 45844 50664 67552 68766 91688 101328 137532 154103 183376 202656 275064 308206 331427 366752 462309 550128 616412 662854 924618 994281 1100256 1232824 1325708 1849236 1988562 2465648 2651416 3698472 3977124 4931296 5302832 7396944 7954248 10605664 14793888 15908496 24194171 31816992 48388342 72582513 96776684 145165026 193553368 290330052 387106736 580660104 774213472 1161320208 2322640416