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2246403456 = 27341119697
BaseRepresentation
bin1000010111100101…
…0110010110000000
312210120000010020000
42011321112112000
514100034402311
61010524120000
7106445054133
oct20571262600
95716003200
102246403456
11a53044190
12528396000
1329a52aa1b
141744ba21a
15d2336056
hex85e56580

2246403456 has 160 divisors (see below), whose sum is σ = 7293381480. Its totient is φ = 680693760.

The previous prime is 2246403451. The next prime is 2246403457. The reversal of 2246403456 is 6543046422.

2246403456 is a `hidden beast` number, since 2 + 2 + 4 + 640 + 3 + 4 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2246403456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246403451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 104200 + ... + 123896.

Almost surely, 22246403456 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 2246403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3646690740).

2246403456 is an abundant number, since it is smaller than the sum of its proper divisors (5046978024).

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

2246403456 is a wasteful number, since it uses less digits than its factorization.

2246403456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19734 (or 19713 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 2246403456 is about 47396.2388381188. The cubic root of 2246403456 is about 1309.6721312994.

Adding to 2246403456 its reverse (6543046422), we get a palindrome (8789449878).

The spelling of 2246403456 in words is "two billion, two hundred forty-six million, four hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 19697 28512 38016 39394 57024 59091 78788 114048 118182 157576 177273 216667 236364 315152 354546 433334 472728 531819 630304 650001 709092 866668 945456 1063638 1260608 1300002 1418184 1595457 1733336 1890912 1950003 2127276 2521216 2600004 2836368 3190914 3466672 3781824 3900006 4254552 5200008 5672736 5850009 6381828 6933344 7563648 7800012 8509104 10400016 11345472 11700018 12763656 13866688 15600024 17018208 17550027 20800032 22690944 23400036 25527312 27733376 31200048 34036416 35100054 41600064 46800072 51054624 62400096 68072832 70200108 83200128 93600144 102109248 124800192 140400216 187200288 204218496 249600384 280800432 374400576 561600864 748801152 1123201728 2246403456