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2244939840 = 2633511132379
BaseRepresentation
bin1000010111001111…
…0001000001000000
312210110020202112000
42011303301001000
514044201033330
61010432504000
7106426450053
oct20563610100
95713222460
102244939840
11a52234590
125279ab000
1329a137790
14174218a9a
15d2147560
hex85cf1040

2244939840 has 896 divisors, whose sum is σ = 9831628800. Its totient is φ = 474439680.

The previous prime is 2244939839. The next prime is 2244939847. The reversal of 2244939840 is 489394422.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2244939847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28416921 + ... + 28416999.

It is an arithmetic number, because the mean of its divisors is an integer number (10972800).

Almost surely, 22244939840 is an apocalyptic number.

2244939840 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 2244939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915814400).

2244939840 is an abundant number, since it is smaller than the sum of its proper divisors (7586688960).

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

2244939840 is a wasteful number, since it uses less digits than its factorization.

2244939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2244939840 is about 47380.7961098165. The cubic root of 2244939840 is about 1309.3876360197.

The spelling of 2244939840 in words is "two billion, two hundred forty-four million, nine hundred thirty-nine thousand, eight hundred forty".