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2194115040 = 25365131447
BaseRepresentation
bin1000001011000111…
…1000100111100000
312122220121121000000
42002301320213200
513443143140130
61001415300000
7105241445565
oct20261704740
95586547000
102194115040
11a26580117
1251297a600
1328c750b30
1416b58886c
15cc958260
hex82c789e0

2194115040 has 336 divisors, whose sum is σ = 8375457888. Its totient is φ = 539716608.

The previous prime is 2194115029. The next prime is 2194115051. The reversal of 2194115040 is 405114912.

It is an interprime number because it is at equal distance from previous prime (2194115029) and next prime (2194115051).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2194114995 and 2194115013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1515597 + ... + 1517043.

It is an arithmetic number, because the mean of its divisors is an integer number (24926958).

Almost surely, 22194115040 is an apocalyptic number.

2194115040 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 2194115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187728944).

2194115040 is an abundant number, since it is smaller than the sum of its proper divisors (6181342848).

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

2194115040 is a wasteful number, since it uses less digits than its factorization.

2194115040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2194115040 is about 46841.3817046423. The cubic root of 2194115040 is about 1299.4307251077.

Adding to 2194115040 its reverse (405114912), we get a palindrome (2599229952).

The spelling of 2194115040 in words is "two billion, one hundred ninety-four million, one hundred fifteen thousand, forty".