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2233740960 = 2532511314549
BaseRepresentation
bin1000010100100100…
…0010111010100000
312202200011210112200
42011021002322200
514033314202320
61005352453200
7106232325213
oct20511027240
95680153480
102233740960
11a46985710
125240aa200
13297a16319
1417294177a
15d1184290
hex85242ea0

2233740960 has 288 divisors, whose sum is σ = 8585740800. Its totient is φ = 523929600.

The previous prime is 2233740937. The next prime is 2233740961. The reversal of 2233740960 is 690473322.

It is a happy number.

2233740960 is a `hidden beast` number, since 223 + 374 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2233740961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488766 + ... + 493314.

It is an arithmetic number, because the mean of its divisors is an integer number (29811600).

Almost surely, 22233740960 is an apocalyptic number.

2233740960 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 2233740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292870400).

2233740960 is an abundant number, since it is smaller than the sum of its proper divisors (6351999840).

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

2233740960 is a wasteful number, since it uses less digits than its factorization.

2233740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4612 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2233740960 is about 47262.4688309868. The cubic root of 2233740960 is about 1307.2067125356.

The spelling of 2233740960 in words is "two billion, two hundred thirty-three million, seven hundred forty thousand, nine hundred sixty".