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2228059008 = 27337259223
BaseRepresentation
bin1000010011001101…
…0111101110000000
312202021111010101000
42010303113232000
514030340342013
61005031012000
7106133121600
oct20463275600
95667433330
102228059008
11a4375478a
1252220a000
132967a7016
14171ca2c00
15d0910973
hex84cd7b80

2228059008 has 384 divisors, whose sum is σ = 7814016000. Its totient is φ = 622992384.

The previous prime is 2228058983. The next prime is 2228059033. The reversal of 2228059008 is 8009508222.

It is an interprime number because it is at equal distance from previous prime (2228058983) and next prime (2228059033).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 9991185 + ... + 9991407.

It is an arithmetic number, because the mean of its divisors is an integer number (20349000).

Almost surely, 22228059008 is an apocalyptic number.

2228059008 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 2228059008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907008000).

2228059008 is an abundant number, since it is smaller than the sum of its proper divisors (5585956992).

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

2228059008 is a wasteful number, since it uses less digits than its factorization.

2228059008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2228059008 is about 47202.3199429859. The cubic root of 2228059008 is about 1306.0973937453.

The spelling of 2228059008 in words is "two billion, two hundred twenty-eight million, fifty-nine thousand, eight".