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2242265382 = 233725359271
BaseRepresentation
bin1000010110100110…
…0100000100100110
312210021012212212000
42011221210010212
514043004443012
61010255310130
7106364640600
oct20551440446
95707185760
102242265382
11a50778195
12526b1b346
1329970c366
14173b20170
15d1cb9ddc
hex85a64126

2242265382 has 192 divisors, whose sum is σ = 6027955200. Its totient is φ = 615625920.

The previous prime is 2242265381. The next prime is 2242265429. The reversal of 2242265382 is 2835622422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242265381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8273907 + ... + 8274177.

It is an arithmetic number, because the mean of its divisors is an integer number (31395600).

Almost surely, 22242265382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242265382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013977600).

2242265382 is an abundant number, since it is smaller than the sum of its proper divisors (3785689818).

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

2242265382 is a wasteful number, since it uses less digits than its factorization.

2242265382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 2242265382 is about 47352.5646823908. The cubic root of 2242265382 is about 1308.8674596756.

The spelling of 2242265382 in words is "two billion, two hundred forty-two million, two hundred sixty-five thousand, three hundred eighty-two".