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2239970040 = 23325711194253
BaseRepresentation
bin1000010110000011…
…0011101011111000
312210002220021020100
42011200303223320
514041413020130
61010134155400
7106336300620
oct20540635370
95702807210
102239970040
11a4a44a710
125261b2b60
132990b7679
141736c3880
15d19b4c60
hex85833af8

2239970040 has 384 divisors, whose sum is σ = 9556185600. Its totient is φ = 440847360.

The previous prime is 2239970027. The next prime is 2239970041. The reversal of 2239970040 is 400799322.

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 = 2239969977 and 2239970004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2239970041) 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, 524554 + ... + 528806.

It is an arithmetic number, because the mean of its divisors is an integer number (24885900).

Almost surely, 22239970040 is an apocalyptic number.

2239970040 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 2239970040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778092800).

2239970040 is an abundant number, since it is smaller than the sum of its proper divisors (7316215560).

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

2239970040 is a wasteful number, since it uses less digits than its factorization.

2239970040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2239970040 is about 47328.3217534702. The cubic root of 2239970040 is about 1308.4206906478.

It can be divided in two parts, 2239 and 970040, that added together give a palindrome (972279).

The spelling of 2239970040 in words is "two billion, two hundred thirty-nine million, nine hundred seventy thousand, forty".