Search a number
-
+
2262675456 = 2123261379
BaseRepresentation
bin1000011011011101…
…1011000000000000
312211200121211012200
42012313123000000
514113221103311
61012304553200
7110033265306
oct20667330000
95750554180
102262675456
11a61248618
12531922800
132a0a07322
14176714276
15d399c556
hex86ddb000

2262675456 has 78 divisors (see below), whose sum is σ = 6535926540. Its totient is φ = 754212864.

The previous prime is 2262675413. The next prime is 2262675463. The reversal of 2262675456 is 6545762622.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6175 + ... + 67553.

It is an arithmetic number, because the mean of its divisors is an integer number (83793930).

Almost surely, 22262675456 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 2262675456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267963270).

2262675456 is an abundant number, since it is smaller than the sum of its proper divisors (4273251084).

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

2262675456 is an equidigital number, since it uses as much as digits as its factorization.

2262675456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61409 (or 61384 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 2262675456 is about 47567.5882928702. The cubic root of 2262675456 is about 1312.8267642464.

The spelling of 2262675456 in words is "two billion, two hundred sixty-two million, six hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 61379 122758 184137 245516 368274 491032 552411 736548 982064 1104822 1473096 1964128 2209644 2946192 3928256 4419288 5892384 7856512 8838576 11784768 15713024 17677152 23569536 31426048 35354304 47139072 62852096 70708608 94278144 125704192 141417216 188556288 251408384 282834432 377112576 565668864 754225152 1131337728 2262675456