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1800244224 = 210331923149
BaseRepresentation
bin110101101001101…
…1000110000000000
311122110110212211000
41223103120300000
512141330303344
6454345252000
762416552302
oct15323306000
94573425730
101800244224
11844211149
12422a94000
13228c7728c
1413113b972
15a80a5a69
hex6b4d8c00

1800244224 has 352 divisors, whose sum is σ = 5895360000. Its totient is φ = 540131328.

The previous prime is 1800244219. The next prime is 1800244249. The reversal of 1800244224 is 4224420081.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12082102 + ... + 12082250.

Almost surely, 21800244224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947680000).

1800244224 is an abundant number, since it is smaller than the sum of its proper divisors (4095115776).

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

1800244224 is a wasteful number, since it uses less digits than its factorization.

1800244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1800244224 is about 42429.2849810128. The cubic root of 1800244224 is about 1216.4954121711.

It can be divided in two parts, 18002 and 44224, that added together give a palindrome (62226).

The spelling of 1800244224 in words is "one billion, eight hundred million, two hundred forty-four thousand, two hundred twenty-four".