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22078816256 = 226747
BaseRepresentation
bin10100100100000000…
…000000000000000000
32002222201012002001102
4110210000000000000
5330204134110011
614050505353532
71411063561460
oct244400000000
962881162042
1022078816256
1193aaa09492
1243421988a8
13210b289623
1410d6419ba0
158934eb73b
hex524000000

22078816256 has 108 divisors (see below), whose sum is σ = 51539607168. Its totient is φ = 9261023232.

The previous prime is 22078816211. The next prime is 22078816261. The reversal of 22078816256 is 65261887022.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 22078816256.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 469762025 + ... + 469762071.

Almost surely, 222078816256 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 22078816256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25769803584).

22078816256 is an abundant number, since it is smaller than the sum of its proper divisors (29460790912).

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

22078816256 is an frugal number, since it uses more digits than its factorization.

22078816256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 22078816256 in words is "twenty-two billion, seventy-eight million, eight hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 112 128 188 224 256 329 376 448 512 658 752 896 1024 1316 1504 1792 2048 2632 3008 3584 4096 5264 6016 7168 8192 10528 12032 14336 16384 21056 24064 28672 32768 42112 48128 57344 65536 84224 96256 114688 131072 168448 192512 229376 262144 336896 385024 458752 524288 673792 770048 917504 1048576 1347584 1540096 1835008 2097152 2695168 3080192 3670016 4194304 5390336 6160384 7340032 8388608 10780672 12320768 14680064 16777216 21561344 24641536 29360128 33554432 43122688 49283072 58720256 67108864 86245376 98566144 117440512 172490752 197132288 234881024 344981504 394264576 469762048 689963008 788529152 1379926016 1577058304 2759852032 3154116608 5519704064 11039408128 22078816256