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2224978632 = 23341721092
BaseRepresentation
bin1000010010011110…
…0111101011001000
312202001200121220000
42010213213223020
514024043304012
61004441003000
7106065002112
oct20447475310
95661617800
102224978632
11a41a40418
12521183460
13295c68c06
141717003b2
15d0502ddc
hex849e7ac8

2224978632 has 180 divisors, whose sum is σ = 6681445155. Its totient is φ = 691628544.

The previous prime is 2224978631. The next prime is 2224978633. The reversal of 2224978632 is 2368794222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2224978632 is a `hidden beast` number, since 2 + 2 + 2 + 4 + 9 + 7 + 8 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (2224978631) and next prime (2224978633).

It can be written as a sum of positive squares in 5 ways, for example, as 2046114756 + 178863876 = 45234^2 + 13374^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33354.

It is not an unprimeable number, because it can be changed into a prime (2224978631) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 20412594 + ... + 20412702.

Almost surely, 22224978632 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 2224978632

2224978632 is an abundant number, since it is smaller than the sum of its proper divisors (4456466523).

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

2224978632 is a wasteful number, since it uses less digits than its factorization.

2224978632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 131 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2224978632 is about 47169.6791593922. The cubic root of 2224978632 is about 1305.4952064328.

The spelling of 2224978632 in words is "two billion, two hundred twenty-four million, nine hundred seventy-eight thousand, six hundred thirty-two".