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2243696000 = 27537132367
BaseRepresentation
bin1000010110111100…
…0001010110000000
312210100220120021212
42011233001112000
514043341233000
61010350105252
7106413046520
oct20557012600
95710816255
102243696000
11a51565017
125274ab228
13299ac0590
14173db3680
15d1e9dc35
hex85bc1580

2243696000 has 512 divisors, whose sum is σ = 7271147520. Its totient is φ = 669081600.

The previous prime is 2243695981. The next prime is 2243696027. The reversal of 2243696000 is 6963422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33487967 + ... + 33488033.

It is an arithmetic number, because the mean of its divisors is an integer number (14201460).

Almost surely, 22243696000 is an apocalyptic number.

2243696000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3635573760).

2243696000 is an abundant number, since it is smaller than the sum of its proper divisors (5027451520).

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

2243696000 is a wasteful number, since it uses less digits than its factorization.

2243696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 2243696000 is about 47367.6682981124. The cubic root of 2243696000 is about 1309.1457632271.

The spelling of 2243696000 in words is "two billion, two hundred forty-three million, six hundred ninety-six thousand".