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2244906468 = 2233719373419
BaseRepresentation
bin1000010111001110…
…1000110111100100
312210110012001202000
42011303220313210
514044144001333
61010432045300
7106426250550
oct20563506744
95713161660
102244906468
11a52211502
12527993830
1329a12552c
1417420a860
15d213c713
hex85ce8de4

2244906468 has 192 divisors, whose sum is σ = 7037184000. Its totient is φ = 604568448.

The previous prime is 2244906451. The next prime is 2244906479. The reversal of 2244906468 is 8646094422.

2244906468 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 5357563 + ... + 5357981.

It is an arithmetic number, because the mean of its divisors is an integer number (36652000).

Almost surely, 22244906468 is an apocalyptic number.

2244906468 is a gapful number since it is divisible by the number (28) 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 2244906468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3518592000).

2244906468 is an abundant number, since it is smaller than the sum of its proper divisors (4792277532).

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

2244906468 is a wasteful number, since it uses less digits than its factorization.

2244906468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 2244906468 is about 47380.4439405120. The cubic root of 2244906468 is about 1309.3811477834.

The spelling of 2244906468 in words is "two billion, two hundred forty-four million, nine hundred six thousand, four hundred sixty-eight".