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2246999040 = 2103251121331
BaseRepresentation
bin1000010111101110…
…0111110000000000
312210121010101012200
42011323213300000
514100212432130
61010544553200
7106453114416
oct20573476000
95717111180
102246999040
11a53410700
12528622800
1329a6a8b40
141745d32b6
15d2402760
hex85ee7c00

2246999040 has 792 divisors, whose sum is σ = 9513538944. Its totient is φ = 486604800.

The previous prime is 2246999023. The next prime is 2246999047. The reversal of 2246999040 is 409996422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246999047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 72483825 + ... + 72483855.

Almost surely, 22246999040 is an apocalyptic number.

2246999040 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 2246999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756769472).

2246999040 is an abundant number, since it is smaller than the sum of its proper divisors (7266539904).

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

2246999040 is a wasteful number, since it uses less digits than its factorization.

2246999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 2246999040 is about 47402.5214519228. The cubic root of 2246999040 is about 1309.7878645677.

The spelling of 2246999040 in words is "two billion, two hundred forty-six million, nine hundred ninety-nine thousand, forty".