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2268060000 = 25354103367
BaseRepresentation
bin1000011100101111…
…1101100101100000
312212001202101102020
42013023331211200
514121110410000
61013020221440
7110130122553
oct20713754540
95761671366
102268060000
11a64296058
1253369a880
132a1b7114b
1417731669a
15d41b2ba0
hex872fd960

2268060000 has 240 divisors, whose sum is σ = 7532388864. Its totient is φ = 597312000.

The previous prime is 2268059993. The next prime is 2268060013. The reversal of 2268060000 is 608622.

2268060000 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 a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6179817 + ... + 6180183.

Almost surely, 22268060000 is an apocalyptic number.

2268060000 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 2268060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766194432).

2268060000 is an abundant number, since it is smaller than the sum of its proper divisors (5264328864).

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

2268060000 is a wasteful number, since it uses less digits than its factorization.

2268060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2268060000 is about 47624.1535357848. The cubic root of 2268060000 is about 1313.8673278937.

Adding to 2268060000 its reverse (608622), we get a palindrome (2268668622).

The spelling of 2268060000 in words is "two billion, two hundred sixty-eight million, sixty thousand".