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2279988000 = 25345331227
BaseRepresentation
bin1000011111100101…
…1101101100100000
312212220012101120000
42013321131230200
514132134104000
61014124020000
7110333402223
oct20771355440
95786171500
102279988000
11a6aaa2804
12537691600
132a4489434
14178b3d5ba
15d526c000
hex87e5db20

2279988000 has 480 divisors, whose sum is σ = 8676315648. Its totient is φ = 585792000.

The previous prime is 2279987987. The next prime is 2279988023. The reversal of 2279988000 is 8899722.

2279988000 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10043887 + ... + 10044113.

Almost surely, 22279988000 is an apocalyptic number.

2279988000 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 2279988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338157824).

2279988000 is an abundant number, since it is smaller than the sum of its proper divisors (6396327648).

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

2279988000 is a wasteful number, since it uses less digits than its factorization.

2279988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 2279988000 is about 47749.2198889155. The cubic root of 2279988000 is about 1316.1665639760.

The spelling of 2279988000 in words is "two billion, two hundred seventy-nine million, nine hundred eighty-eight thousand".