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2941225000 = 235576
BaseRepresentation
bin1010111101001111…
…1000100000101000
321120222102201012021
42233103320200220
522010423200000
61203504354224
7132613000000
oct25723704050
97528381167
102941225000
11127a27696a
126a1015974
1337b47602c
141dc8a7000
1512333411a
hexaf4f8828

2941225000 has 168 divisors, whose sum is σ = 8041887630. Its totient is φ = 1008420000.

The previous prime is 2941224991. The next prime is 2941225009. The reversal of 2941225000 is 5221492.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2941224991) and next prime (2941225009).

It can be written as a sum of positive squares in 3 ways, for example, as 4235364 + 2936989636 = 2058^2 + 54194^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2941225009) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 420174997 + ... + 420175003.

Almost surely, 22941225000 is an apocalyptic number.

2941225000 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 2941225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020943815).

2941225000 is an abundant number, since it is smaller than the sum of its proper divisors (5100662630).

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

2941225000 is an frugal number, since it uses more digits than its factorization.

2941225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 2941225000 is about 54233.0618718877. The cubic root of 2941225000 is about 1432.7686917243.

2941225000 divided by its sum of digits (25) gives a cube (117649000 = 4903).

Multiplying 2941225000 by its product of nonzero digits (1440), we get a square (4235364000000 = 20580002).

Adding to 2941225000 its reverse (5221492), we get a palindrome (2946446492).

The spelling of 2941225000 in words is "two billion, nine hundred forty-one million, two hundred twenty-five thousand".