Search a number
-
+
2229252096 = 2123434219
BaseRepresentation
bin1000010011011111…
…1011000000000000
312202100201201222110
42010313323000000
514031142031341
61005112335320
7106146221151
oct20467730000
95670651873
102229252096
11a4439a105
125226a4540
13296b040a6
141720d3928
15d0a99216
hex84dfb000

2229252096 has 104 divisors (see below), whose sum is σ = 6083619520. Its totient is φ = 725630976.

The previous prime is 2229252089. The next prime is 2229252101. The reversal of 2229252096 is 6902529222.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526275 + ... + 530493.

Almost surely, 22229252096 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 2229252096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041809760).

2229252096 is an abundant number, since it is smaller than the sum of its proper divisors (3854367424).

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

2229252096 is an equidigital number, since it uses as much as digits as its factorization.

2229252096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4289 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2229252096 is about 47214.9562744688. The cubic root of 2229252096 is about 1306.3304831831.

The spelling of 2229252096 in words is "two billion, two hundred twenty-nine million, two hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1024 1032 1376 1536 2048 2064 2752 3072 4096 4128 4219 5504 6144 8256 8438 11008 12288 12657 16512 16876 22016 25314 33024 33752 44032 50628 66048 67504 88064 101256 132096 135008 176128 181417 202512 264192 270016 362834 405024 528384 540032 544251 725668 810048 1080064 1088502 1451336 1620096 2160128 2177004 2902672 3240192 4320256 4354008 5805344 6480384 8640512 8708016 11610688 12960768 17281024 17416032 23221376 25921536 34832064 46442752 51843072 69664128 92885504 139328256 185771008 278656512 371542016 557313024 743084032 1114626048 2229252096