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2238647040 = 283257172371
BaseRepresentation
bin1000010101101111…
…0000101100000000
312210000102001102100
42011123300230000
514041043201130
61010045550400
7106322120520
oct20533605400
95700361370
102238647040
11a49726723
12525875400
13298a43426
1417345b680
15d1802c60
hex856f0b00

2238647040 has 864 divisors, whose sum is σ = 9917945856. Its totient is φ = 454164480.

The previous prime is 2238647029. The next prime is 2238647041. The reversal of 2238647040 is 407468322.

2238647040 is a `hidden beast` number, since 2 + 2 + 3 + 8 + 647 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2238646986 and 2238647004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238647041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31530205 + ... + 31530275.

It is an arithmetic number, because the mean of its divisors is an integer number (11479104).

Almost surely, 22238647040 is an apocalyptic number.

2238647040 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 2238647040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958972928).

2238647040 is an abundant number, since it is smaller than the sum of its proper divisors (7679298816).

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

2238647040 is a wasteful number, since it uses less digits than its factorization.

2238647040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2238647040 is about 47314.3428571084. The cubic root of 2238647040 is about 1308.1630411469.

The spelling of 2238647040 in words is "two billion, two hundred thirty-eight million, six hundred forty-seven thousand, forty".