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2243314656 = 2533111931223
BaseRepresentation
bin1000010110110110…
…0100001111100000
312210100012012012000
42011231210033200
514043242032111
61010334004000
7106406600652
oct20555441740
95710165160
102243314656
11a51324560
12527346600
132999b8b2b
14173d146d2
15d1e25c56
hex85b643e0

2243314656 has 192 divisors, whose sum is σ = 7180669440. Its totient is φ = 675717120.

The previous prime is 2243314649. The next prime is 2243314657. The reversal of 2243314656 is 6564133422.

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 2243314656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243314657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1833661 + ... + 1834883.

It is an arithmetic number, because the mean of its divisors is an integer number (37399320).

Almost surely, 22243314656 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 2243314656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590334720).

2243314656 is an abundant number, since it is smaller than the sum of its proper divisors (4937354784).

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

2243314656 is a wasteful number, since it uses less digits than its factorization.

2243314656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1432 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 2243314656 is about 47363.6427653110. The cubic root of 2243314656 is about 1309.0715904977.

The spelling of 2243314656 in words is "two billion, two hundred forty-three million, three hundred fourteen thousand, six hundred fifty-six".