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2200121088 = 28311312271
BaseRepresentation
bin1000001100100011…
…0010111100000000
312200022220201202020
42003020302330000
514001212333323
61002152121440
7105343502124
oct20310627400
95608821666
102200121088
11a29a025a0
12514996280
13290a747c9
1416c2ad584
15cd242ae3
hex83232f00

2200121088 has 216 divisors, whose sum is σ = 6624914688. Its totient is φ = 642816000.

The previous prime is 2200121083. The next prime is 2200121111. The reversal of 2200121088 is 8801210022.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200121081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8118393 + ... + 8118663.

Almost surely, 22200121088 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 2200121088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312457344).

2200121088 is an abundant number, since it is smaller than the sum of its proper divisors (4424793600).

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

2200121088 is a wasteful number, since it uses less digits than its factorization.

2200121088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 2200121088 is about 46905.4483828904. The cubic root of 2200121088 is about 1300.6153079314.

The spelling of 2200121088 in words is "two billion, two hundred million, one hundred twenty-one thousand, eighty-eight".