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2226928896 = 28331931547
BaseRepresentation
bin1000010010111100…
…0011110100000000
312202012100201011000
42010233003310000
514030043211041
61004550452000
7106120404033
oct20457036400
95665321130
102226928896
11a43052705
12521964000
1329649c80a
14171a8b01a
15d078abb6
hex84bc3d00

2226928896 has 288 divisors, whose sum is σ = 7168716800. Its totient is φ = 679311360.

The previous prime is 2226928883. The next prime is 2226928903. The reversal of 2226928896 is 6988296222.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4070895 + ... + 4071441.

Almost surely, 22226928896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584358400).

2226928896 is an abundant number, since it is smaller than the sum of its proper divisors (4941787904).

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

2226928896 is a wasteful number, since it uses less digits than its factorization.

2226928896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 602 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 2226928896 is about 47190.3474875954. The cubic root of 2226928896 is about 1305.8765309584.

The spelling of 2226928896 in words is "two billion, two hundred twenty-six million, nine hundred twenty-eight thousand, eight hundred ninety-six".