Search a number
-
+
2322656256 = 21034671619
BaseRepresentation
bin1000101001110000…
…1110110000000000
312222212111011101210
42022130032300000
514224100000011
61022250330120
7111362152404
oct21234166000
95885434353
102322656256
11a92096028
12549a29940
132b027861b
14180689104
15d8d996a6
hex8a70ec00

2322656256 has 88 divisors (see below), whose sum is σ = 6207814080. Its totient is φ = 772083712.

The previous prime is 2322656249. The next prime is 2322656267. The reversal of 2322656256 is 6526562232.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1433815 + ... + 1435433.

Almost surely, 22322656256 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 2322656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103907040).

2322656256 is an abundant number, since it is smaller than the sum of its proper divisors (3885157824).

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

2322656256 is a wasteful number, since it uses less digits than its factorization.

2322656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2091 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 2322656256 is about 48193.9441838910. The cubic root of 2322656256 is about 1324.3262279397.

The spelling of 2322656256 in words is "two billion, three hundred twenty-two million, six hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 467 512 768 934 1024 1401 1536 1619 1868 2802 3072 3238 3736 4857 5604 6476 7472 9714 11208 12952 14944 19428 22416 25904 29888 38856 44832 51808 59776 77712 89664 103616 119552 155424 179328 207232 239104 310848 358656 414464 478208 621696 717312 756073 828928 1243392 1434624 1512146 1657856 2268219 2486784 3024292 4536438 4973568 6048584 9072876 12097168 18145752 24194336 36291504 48388672 72583008 96777344 145166016 193554688 290332032 387109376 580664064 774218752 1161328128 2322656256