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2228274048 = 2737112131731
BaseRepresentation
bin1000010011010000…
…1100001110000000
312202021220001100110
42010310030032000
514030414232143
61005035351320
7106135005540
oct20464141600
95667801313
102228274048
11a43891300
125222b2540
13296850b70
14171d1b320
15d0954533
hex84d0c380

2228274048 has 768 divisors, whose sum is σ = 8751697920. Its totient is φ = 486604800.

The previous prime is 2228273989. The next prime is 2228274049. The reversal of 2228274048 is 8404728222.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2228273997 and 2228274015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228274049) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71879793 + ... + 71879823.

It is an arithmetic number, because the mean of its divisors is an integer number (11395440).

Almost surely, 22228274048 is an apocalyptic number.

2228274048 is a gapful number since it is divisible by the number (28) 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 2228274048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4375848960).

2228274048 is an abundant number, since it is smaller than the sum of its proper divisors (6523423872).

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

2228274048 is a wasteful number, since it uses less digits than its factorization.

2228274048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 2228274048 is about 47204.5977421691. The cubic root of 2228274048 is about 1306.1394115057.

The spelling of 2228274048 in words is "two billion, two hundred twenty-eight million, two hundred seventy-four thousand, forty-eight".