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2244152064 = 283711137277
BaseRepresentation
bin1000010111000011…
…0000101100000000
312210101202201220010
42011300300230000
514044000331224
61010403544520
7106416656250
oct20560605400
95711681803
102244152064
11a51846730
1252768b140
13299c2003b
14174091960
15d203de29
hex85c30b00

2244152064 has 288 divisors, whose sum is σ = 7527937536. Its totient is φ = 576552960.

The previous prime is 2244152047. The next prime is 2244152077. The reversal of 2244152064 is 4602514422.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8101494 + ... + 8101770.

It is an arithmetic number, because the mean of its divisors is an integer number (26138672).

Almost surely, 22244152064 is an apocalyptic number.

2244152064 is a gapful number since it is divisible by the number (24) 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 2244152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763968768).

2244152064 is an abundant number, since it is smaller than the sum of its proper divisors (5283785472).

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

2244152064 is a wasteful number, since it uses less digits than its factorization.

2244152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2244152064 is about 47372.4821388958. The cubic root of 2244152064 is about 1309.2344582203.

Adding to 2244152064 its reverse (4602514422), we get a palindrome (6846666486).

The spelling of 2244152064 in words is "two billion, two hundred forty-four million, one hundred fifty-two thousand, sixty-four".