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2229470208 = 21032724937
BaseRepresentation
bin1000010011100011…
…0000010000000000
312202101010211011200
42010320300100000
514031221021313
61005121141200
7106151120100
oct20470602000
95671124150
102229470208
11a44528a69
1252278a800
13296b7c454
1417214d200
15d0addb73
hex84e30400

2229470208 has 198 divisors, whose sum is σ = 7490091726. Its totient is φ = 636862464.

The previous prime is 2229470171. The next prime is 2229470209. The reversal of 2229470208 is 8020749222.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1849688064 + 379782144 = 43008^2 + 19488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2229470209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 449116 + ... + 454052.

Almost surely, 22229470208 is an apocalyptic number.

2229470208 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 2229470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745045863).

2229470208 is an abundant number, since it is smaller than the sum of its proper divisors (5260621518).

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

2229470208 is a wasteful number, since it uses less digits than its factorization.

2229470208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4977 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2229470208 is about 47217.2659945491. The cubic root of 2229470208 is about 1306.3730859709.

The spelling of 2229470208 in words is "two billion, two hundred twenty-nine million, four hundred seventy thousand, two hundred eight".