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2239248000 = 27353114241
BaseRepresentation
bin1000010101111000…
…0011011010000000
312210001112120210010
42011132003122000
514041221414000
61010110504520
7106330202553
oct20536033200
95701476703
102239248000
11a49aa7190
12525b05140
13298bc3b22
1417357669a
15d18c0d50
hex85783680

2239248000 has 256 divisors, whose sum is σ = 8099844480. Its totient is φ = 542720000.

The previous prime is 2239247993. The next prime is 2239248019. The reversal of 2239248000 is 8429322.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 525880 + ... + 530120.

Almost surely, 22239248000 is an apocalyptic number.

2239248000 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 2239248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049922240).

2239248000 is an abundant number, since it is smaller than the sum of its proper divisors (5860596480).

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

2239248000 is a wasteful number, since it uses less digits than its factorization.

2239248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2239248000 is about 47320.6931479242. The cubic root of 2239248000 is about 1308.2800885287.

The spelling of 2239248000 in words is "two billion, two hundred thirty-nine million, two hundred forty-eight thousand".