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2226255696 = 2432710720641
BaseRepresentation
bin1000010010110001…
…1111011101010000
312202011002111200200
42010230133131100
514024410140241
61004524215200
7106111601250
oct20454373520
95664074620
102226255696
11a42732945
1252169a500
132962c5282
14171953960
15d06a64b6
hex84b1f750

2226255696 has 120 divisors (see below), whose sum is σ = 7187379264. Its totient is φ = 630097920.

The previous prime is 2226255683. The next prime is 2226255719. The reversal of 2226255696 is 6965526222.

2226255696 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 2 + 556 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97536 + ... + 118176.

Almost surely, 22226255696 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 2226255696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593689632).

2226255696 is an abundant number, since it is smaller than the sum of its proper divisors (4961123568).

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

2226255696 is a wasteful number, since it uses less digits than its factorization.

2226255696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20769 (or 20760 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 2226255696 is about 47183.2141338421. The cubic root of 2226255696 is about 1305.7449289897.

The spelling of 2226255696 in words is "two billion, two hundred twenty-six million, two hundred fifty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 107 112 126 144 168 214 252 321 336 428 504 642 749 856 963 1008 1284 1498 1712 1926 2247 2568 2996 3852 4494 5136 5992 6741 7704 8988 11984 13482 15408 17976 20641 26964 35952 41282 53928 61923 82564 107856 123846 144487 165128 185769 247692 288974 330256 371538 433461 495384 577948 743076 866922 990768 1155896 1300383 1486152 1733844 2208587 2311792 2600766 2972304 3467688 4417174 5201532 6625761 6935376 8834348 10403064 13251522 15460109 17668696 19877283 20806128 26503044 30920218 35337392 39754566 46380327 53006088 61840436 79509132 92760654 106012176 123680872 139140981 159018264 185521308 247361744 278281962 318036528 371042616 556563924 742085232 1113127848 2226255696