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2238372864 = 2103271317157
BaseRepresentation
bin1000010101101010…
…1101110000000000
312202222220010022200
42011122231300000
514041010412424
61010040033200
7106316566260
oct20532556000
95688803280
102238372864
11a49559732
12525762800
132989786b0
141733c97a0
15d179b8c9
hex856adc00

2238372864 has 528 divisors, whose sum is σ = 8476348608. Its totient is φ = 552075264.

The previous prime is 2238372853. The next prime is 2238372889. The reversal of 2238372864 is 4682738322.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14257074 + ... + 14257230.

Almost surely, 22238372864 is an apocalyptic number.

2238372864 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 2238372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238174304).

2238372864 is an abundant number, since it is smaller than the sum of its proper divisors (6237975744).

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

2238372864 is a wasteful number, since it uses less digits than its factorization.

2238372864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2238372864 is about 47311.4453805842. The cubic root of 2238372864 is about 1308.1096336576.

The spelling of 2238372864 in words is "two billion, two hundred thirty-eight million, three hundred seventy-two thousand, eight hundred sixty-four".