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244214040 = 233572411013
BaseRepresentation
bin11101000111001…
…10100100011000
3122000112100200110
432203212210120
51000004322130
640122204320
76023533200
oct1643464430
9560470613
10244214040
11115941694
12699536a0
133b797c65
1424611400
151668eab0
hexe8e6918

244214040 has 192 divisors, whose sum is σ = 873905760. Its totient is φ = 54405120.

The previous prime is 244214029. The next prime is 244214051. The reversal of 244214040 is 40412442.

It is an interprime number because it is at equal distance from previous prime (244214029) and next prime (244214051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 244213998 and 244214016.

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 47 ways as a sum of consecutive naturals, for example, 240574 + ... + 241586.

Almost surely, 2244214040 is an apocalyptic number.

244214040 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 244214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

244214040 is an abundant number, since it is smaller than the sum of its proper divisors (629691720).

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

244214040 is a wasteful number, since it uses less digits than its factorization.

244214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 244214040 is about 15627.3491034148. The cubic root of 244214040 is about 625.0626411882.

Adding to 244214040 its reverse (40412442), we get a palindrome (284626482).

The spelling of 244214040 in words is "two hundred forty-four million, two hundred fourteen thousand, forty".