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2113849224 = 23381723103
BaseRepresentation
bin111110111111110…
…1100011110001000
312110022120200000000
41331333230132020
513312121133344
6545431043000
7103245264504
oct17577543610
95408520000
102113849224
11995238233
124abb10460
13278c29776
14160a53304
15c58a0a69
hex7dfec788

2113849224 has 288 divisors, whose sum is σ = 6632046720. Its totient is φ = 628176384.

The previous prime is 2113849219. The next prime is 2113849249. The reversal of 2113849224 is 4229483112.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20522757 + ... + 20522859.

It is an arithmetic number, because the mean of its divisors is an integer number (23027940).

Almost surely, 22113849224 is an apocalyptic number.

2113849224 is a gapful number since it is divisible by the number (24) 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 2113849224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3316023360).

2113849224 is an abundant number, since it is smaller than the sum of its proper divisors (4518197496).

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

2113849224 is a wasteful number, since it uses less digits than its factorization.

2113849224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 148 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2113849224 is about 45976.6160564259. The cubic root of 2113849224 is about 1283.3880829550.

The spelling of 2113849224 in words is "two billion, one hundred thirteen million, eight hundred forty-nine thousand, two hundred twenty-four".