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2243450464 = 25419111877
BaseRepresentation
bin1000010110111000…
…0101011001100000
312210100110002110221
42011232011121200
514043310403324
61010340532424
7106411004623
oct20556053140
95710402427
102243450464
11a514075a2
125273b1114
13299a358a8
14173d4bdba
15d1e510e4
hex85b85660

2243450464 has 48 divisors (see below), whose sum is σ = 4531899456. Its totient is φ = 1092582400.

The previous prime is 2243450449. The next prime is 2243450467. The reversal of 2243450464 is 4640543422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243450467) 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 7 ways as a sum of consecutive naturals, for example, 1194294 + ... + 1196170.

It is an arithmetic number, because the mean of its divisors is an integer number (94414572).

Almost surely, 22243450464 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 2243450464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265949728).

2243450464 is an abundant number, since it is smaller than the sum of its proper divisors (2288448992).

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

2243450464 is a wasteful number, since it uses less digits than its factorization.

2243450464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

The square root of 2243450464 is about 47365.0764171240. The cubic root of 2243450464 is about 1309.0980065880.

Adding to 2243450464 its reverse (4640543422), we get a palindrome (6883993886).

The spelling of 2243450464 in words is "two billion, two hundred forty-three million, four hundred fifty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 911 1312 1822 1877 3644 3754 7288 7508 14576 15016 29152 30032 37351 60064 74702 76957 149404 153914 298808 307828 597616 615656 1195232 1231312 1709947 2462624 3419894 6839788 13679576 27359152 54718304 70107827 140215654 280431308 560862616 1121725232 2243450464