Search a number
-
+
2273303340 = 2233571154673
BaseRepresentation
bin1000011101111111…
…1101101100101100
312212102121202221000
42013133331230230
514123431201330
61013324440300
7110222521350
oct20737755454
95772552830
102273303340
11a672474a0
125353a9090
132a2c88909
14177cbd460
15d489b560
hex877fdb2c

2273303340 has 192 divisors, whose sum is σ = 8817822720. Its totient is φ = 472366080.

The previous prime is 2273303321. The next prime is 2273303341. The reversal of 2273303340 is 433033722.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2273303341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14244 + ... + 68916.

It is an arithmetic number, because the mean of its divisors is an integer number (45926160).

Almost surely, 22273303340 is an apocalyptic number.

2273303340 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 2273303340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408911360).

2273303340 is an abundant number, since it is smaller than the sum of its proper divisors (6544519380).

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

2273303340 is a wasteful number, since it uses less digits than its factorization.

2273303340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54709 (or 54701 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 2273303340 is about 47679.1709239999. The cubic root of 2273303340 is about 1314.8790223490.

The spelling of 2273303340 in words is "two billion, two hundred seventy-three million, three hundred three thousand, three hundred forty".