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2228086224 = 2433713192157
BaseRepresentation
bin1000010011001101…
…1110010111010000
312202021112111201000
42010303132113100
514030342224344
61005031342000
7106133264130
oct20463362720
95667474630
102228086224
11a43773181
12522221900
132967b6520
14171cacac0
15d0918a69
hex84cde5d0

2228086224 has 480 divisors, whose sum is σ = 8360298240. Its totient is φ = 553153536.

The previous prime is 2228086213. The next prime is 2228086297. The reversal of 2228086224 is 4226808222.

2228086224 is a `hidden beast` number, since 2 + 2 + 28 + 0 + 8 + 622 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14191554 + ... + 14191710.

It is an arithmetic number, because the mean of its divisors is an integer number (17417288).

Almost surely, 22228086224 is an apocalyptic number.

2228086224 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 2228086224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4180149120).

2228086224 is an abundant number, since it is smaller than the sum of its proper divisors (6132212016).

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

2228086224 is a wasteful number, since it uses less digits than its factorization.

2228086224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2228086224 is about 47202.6082330203. The cubic root of 2228086224 is about 1306.1027117676.

The spelling of 2228086224 in words is "two billion, two hundred twenty-eight million, eighty-six thousand, two hundred twenty-four".